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Finding the Fourth Proportional to 13,731.64, 20,585.13 and 6,332.32

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Solution

The fourth proportional to 13,731.64, 20,585.13 and 6,332.32 is: 9,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.64 : 20,585.13 = 6,332.32 : x
  2. Step 2: Convert to fraction form
    13,731.64/20,585.13 = 6,332.32/x
  3. Step 3: Cross multiply
    13,731.64x = 20,585.13 × 6,332.32
  4. Step 4: Simplify right side
    13,731.64x = 130,351,630.40
  5. Step 5: Solve for x
    x = 130,351,630.40/13,731.64
  6. Step 6: Final answer
    x = 9,492.79

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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.