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Finding the Fourth Proportional to 15,685.76, 21,655.68 and 9,400.16

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Solution

The fourth proportional to 15,685.76, 21,655.68 and 9,400.16 is: 12,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.76 : 21,655.68 = 9,400.16 : x
  2. Step 2: Convert to fraction form
    15,685.76/21,655.68 = 9,400.16/x
  3. Step 3: Cross multiply
    15,685.76x = 21,655.68 × 9,400.16
  4. Step 4: Simplify right side
    15,685.76x = 203,566,856.91
  5. Step 5: Solve for x
    x = 203,566,856.91/15,685.76
  6. Step 6: Final answer
    x = 12,977.81

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