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Finding the Fourth Proportional to 7,872.42, 11,772.17 and 6,097.31

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Solution

The fourth proportional to 7,872.42, 11,772.17 and 6,097.31 is: 9,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.42 : 11,772.17 = 6,097.31 : x
  2. Step 2: Convert to fraction form
    7,872.42/11,772.17 = 6,097.31/x
  3. Step 3: Cross multiply
    7,872.42x = 11,772.17 × 6,097.31
  4. Step 4: Simplify right side
    7,872.42x = 71,778,547.53
  5. Step 5: Solve for x
    x = 71,778,547.53/7,872.42
  6. Step 6: Final answer
    x = 9,117.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.