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Finding the Fourth Proportional to 7,585.91, 10,478.76 and 6,878.55

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Solution

The fourth proportional to 7,585.91, 10,478.76 and 6,878.55 is: 9,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.91 : 10,478.76 = 6,878.55 : x
  2. Step 2: Convert to fraction form
    7,585.91/10,478.76 = 6,878.55/x
  3. Step 3: Cross multiply
    7,585.91x = 10,478.76 × 6,878.55
  4. Step 4: Simplify right side
    7,585.91x = 72,078,674.60
  5. Step 5: Solve for x
    x = 72,078,674.60/7,585.91
  6. Step 6: Final answer
    x = 9,501.65

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Half scale
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Double scale
Find fourth proportional to 7,586.91, 10,480.14 and 6,879.55
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.