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Finding the Fourth Proportional to 7,728.76, 10,665.62 and 4,191.99

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Solution

The fourth proportional to 7,728.76, 10,665.62 and 4,191.99 is: 5,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.76 : 10,665.62 = 4,191.99 : x
  2. Step 2: Convert to fraction form
    7,728.76/10,665.62 = 4,191.99/x
  3. Step 3: Cross multiply
    7,728.76x = 10,665.62 × 4,191.99
  4. Step 4: Simplify right side
    7,728.76x = 44,710,098.10
  5. Step 5: Solve for x
    x = 44,710,098.10/7,728.76
  6. Step 6: Final answer
    x = 5,784.90

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Half scale
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Double scale
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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.