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Finding the Fourth Proportional to 9,712.25, 13,402.92 and 5,520.50

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Solution

The fourth proportional to 9,712.25, 13,402.92 and 5,520.50 is: 7,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.25 : 13,402.92 = 5,520.50 : x
  2. Step 2: Convert to fraction form
    9,712.25/13,402.92 = 5,520.50/x
  3. Step 3: Cross multiply
    9,712.25x = 13,402.92 × 5,520.50
  4. Step 4: Simplify right side
    9,712.25x = 73,990,819.86
  5. Step 5: Solve for x
    x = 73,990,819.86/9,712.25
  6. Step 6: Final answer
    x = 7,618.30

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1.5x scale

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.