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Finding the Fourth Proportional to 9,652.80, 13,309.20 and 6,663.90

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Solution

The fourth proportional to 9,652.80, 13,309.20 and 6,663.90 is: 9,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.80 : 13,309.20 = 6,663.90 : x
  2. Step 2: Convert to fraction form
    9,652.80/13,309.20 = 6,663.90/x
  3. Step 3: Cross multiply
    9,652.80x = 13,309.20 × 6,663.90
  4. Step 4: Simplify right side
    9,652.80x = 88,691,177.88
  5. Step 5: Solve for x
    x = 88,691,177.88/9,652.80
  6. Step 6: Final answer
    x = 9,188.13

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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.