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Finding the Fourth Proportional to 7,086.77, 9,774.77 and 6,140.89

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Solution

The fourth proportional to 7,086.77, 9,774.77 and 6,140.89 is: 8,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.77 : 9,774.77 = 6,140.89 : x
  2. Step 2: Convert to fraction form
    7,086.77/9,774.77 = 6,140.89/x
  3. Step 3: Cross multiply
    7,086.77x = 9,774.77 × 6,140.89
  4. Step 4: Simplify right side
    7,086.77x = 60,025,707.77
  5. Step 5: Solve for x
    x = 60,025,707.77/7,086.77
  6. Step 6: Final answer
    x = 8,470.11

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Half 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.