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Finding the Fourth Proportional to 10,493.36, 14,487.80 and 6,520.40

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Solution

The fourth proportional to 10,493.36, 14,487.80 and 6,520.40 is: 9,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.36 : 14,487.80 = 6,520.40 : x
  2. Step 2: Convert to fraction form
    10,493.36/14,487.80 = 6,520.40/x
  3. Step 3: Cross multiply
    10,493.36x = 14,487.80 × 6,520.40
  4. Step 4: Simplify right side
    10,493.36x = 94,466,251.12
  5. Step 5: Solve for x
    x = 94,466,251.12/10,493.36
  6. Step 6: Final answer
    x = 9,002.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.