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Finding the Fourth Proportional to 10,402.68, 15,606.18 and 3,477

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Solution

The fourth proportional to 10,402.68, 15,606.18 and 3,477 is: 5,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.68 : 15,606.18 = 3,477 : x
  2. Step 2: Convert to fraction form
    10,402.68/15,606.18 = 3,477/x
  3. Step 3: Cross multiply
    10,402.68x = 15,606.18 × 3,477
  4. Step 4: Simplify right side
    10,402.68x = 54,262,687.86
  5. Step 5: Solve for x
    x = 54,262,687.86/10,402.68
  6. Step 6: Final answer
    x = 5,216.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.