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Finding the Fourth Proportional to 6,695.56, 9,240.96 and 6,400.28

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Solution

The fourth proportional to 6,695.56, 9,240.96 and 6,400.28 is: 8,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.56 : 9,240.96 = 6,400.28 : x
  2. Step 2: Convert to fraction form
    6,695.56/9,240.96 = 6,400.28/x
  3. Step 3: Cross multiply
    6,695.56x = 9,240.96 × 6,400.28
  4. Step 4: Simplify right side
    6,695.56x = 59,144,731.47
  5. Step 5: Solve for x
    x = 59,144,731.47/6,695.56
  6. Step 6: Final answer
    x = 8,833.43

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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.