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Finding the Fourth Proportional to 8,605.71, 11,864.76 and 5,575.41

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Solution

The fourth proportional to 8,605.71, 11,864.76 and 5,575.41 is: 7,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.71 : 11,864.76 = 5,575.41 : x
  2. Step 2: Convert to fraction form
    8,605.71/11,864.76 = 5,575.41/x
  3. Step 3: Cross multiply
    8,605.71x = 11,864.76 × 5,575.41
  4. Step 4: Simplify right side
    8,605.71x = 66,150,901.55
  5. Step 5: Solve for x
    x = 66,150,901.55/8,605.71
  6. Step 6: Final answer
    x = 7,686.86

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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.