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Finding the Fourth Proportional to 9,260.40, 13,885.56 and 6,342

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Solution

The fourth proportional to 9,260.40, 13,885.56 and 6,342 is: 9,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.40 : 13,885.56 = 6,342 : x
  2. Step 2: Convert to fraction form
    9,260.40/13,885.56 = 6,342/x
  3. Step 3: Cross multiply
    9,260.40x = 13,885.56 × 6,342
  4. Step 4: Simplify right side
    9,260.40x = 88,062,221.52
  5. Step 5: Solve for x
    x = 88,062,221.52/9,260.40
  6. Step 6: Final answer
    x = 9,509.55

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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.