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Finding the Fourth Proportional to 10,689.64, 16,039.58 and 3,767.40

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Solution

The fourth proportional to 10,689.64, 16,039.58 and 3,767.40 is: 5,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.64 : 16,039.58 = 3,767.40 : x
  2. Step 2: Convert to fraction form
    10,689.64/16,039.58 = 3,767.40/x
  3. Step 3: Cross multiply
    10,689.64x = 16,039.58 × 3,767.40
  4. Step 4: Simplify right side
    10,689.64x = 60,427,513.69
  5. Step 5: Solve for x
    x = 60,427,513.69/10,689.64
  6. Step 6: Final answer
    x = 5,652.90

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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.