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Finding the Fourth Proportional to 19,678.52, 29,519.54 and 6,531

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Solution

The fourth proportional to 19,678.52, 29,519.54 and 6,531 is: 9,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.52 : 29,519.54 = 6,531 : x
  2. Step 2: Convert to fraction form
    19,678.52/29,519.54 = 6,531/x
  3. Step 3: Cross multiply
    19,678.52x = 29,519.54 × 6,531
  4. Step 4: Simplify right side
    19,678.52x = 192,792,115.74
  5. Step 5: Solve for x
    x = 192,792,115.74/19,678.52
  6. Step 6: Final answer
    x = 9,797.08

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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.