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Finding the Fourth Proportional to 10,649.40, 14,695.05 and 6,560.56

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Solution

The fourth proportional to 10,649.40, 14,695.05 and 6,560.56 is: 9,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.40 : 14,695.05 = 6,560.56 : x
  2. Step 2: Convert to fraction form
    10,649.40/14,695.05 = 6,560.56/x
  3. Step 3: Cross multiply
    10,649.40x = 14,695.05 × 6,560.56
  4. Step 4: Simplify right side
    10,649.40x = 96,407,757.23
  5. Step 5: Solve for x
    x = 96,407,757.23/10,649.40
  6. Step 6: Final answer
    x = 9,052.88

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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.