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Finding the Fourth Proportional to 9,929.68, 14,878.68 and 5,249.52

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Solution

The fourth proportional to 9,929.68, 14,878.68 and 5,249.52 is: 7,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.68 : 14,878.68 = 5,249.52 : x
  2. Step 2: Convert to fraction form
    9,929.68/14,878.68 = 5,249.52/x
  3. Step 3: Cross multiply
    9,929.68x = 14,878.68 × 5,249.52
  4. Step 4: Simplify right side
    9,929.68x = 78,105,928.23
  5. Step 5: Solve for x
    x = 78,105,928.23/9,929.68
  6. Step 6: Final answer
    x = 7,865.91

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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.