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Finding the Fourth Proportional to 9,639, 13,302.36 and 5,447.52

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Solution

The fourth proportional to 9,639, 13,302.36 and 5,447.52 is: 7,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 13,302.36 = 5,447.52 : x
  2. Step 2: Convert to fraction form
    9,639/13,302.36 = 5,447.52/x
  3. Step 3: Cross multiply
    9,639x = 13,302.36 × 5,447.52
  4. Step 4: Simplify right side
    9,639x = 72,464,872.15
  5. Step 5: Solve for x
    x = 72,464,872.15/9,639
  6. Step 6: Final answer
    x = 7,517.88

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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.