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Finding the Fourth Proportional to 6,870.38, 9,474.17 and 5,607.36

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Solution

The fourth proportional to 6,870.38, 9,474.17 and 5,607.36 is: 7,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.38 : 9,474.17 = 5,607.36 : x
  2. Step 2: Convert to fraction form
    6,870.38/9,474.17 = 5,607.36/x
  3. Step 3: Cross multiply
    6,870.38x = 9,474.17 × 5,607.36
  4. Step 4: Simplify right side
    6,870.38x = 53,125,053.85
  5. Step 5: Solve for x
    x = 53,125,053.85/6,870.38
  6. Step 6: Final answer
    x = 7,732.48

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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.