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Finding the Fourth Proportional to 6,908.92, 9,539.22 and 4,257.16

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Solution

The fourth proportional to 6,908.92, 9,539.22 and 4,257.16 is: 5,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.92 : 9,539.22 = 4,257.16 : x
  2. Step 2: Convert to fraction form
    6,908.92/9,539.22 = 4,257.16/x
  3. Step 3: Cross multiply
    6,908.92x = 9,539.22 × 4,257.16
  4. Step 4: Simplify right side
    6,908.92x = 40,609,985.82
  5. Step 5: Solve for x
    x = 40,609,985.82/6,908.92
  6. Step 6: Final answer
    x = 5,877.91

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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.