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Finding the Fourth Proportional to 7,917.35, 11,878.04 and 6,514.02

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Solution

The fourth proportional to 7,917.35, 11,878.04 and 6,514.02 is: 9,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.35 : 11,878.04 = 6,514.02 : x
  2. Step 2: Convert to fraction form
    7,917.35/11,878.04 = 6,514.02/x
  3. Step 3: Cross multiply
    7,917.35x = 11,878.04 × 6,514.02
  4. Step 4: Simplify right side
    7,917.35x = 77,373,806.41
  5. Step 5: Solve for x
    x = 77,373,806.41/7,917.35
  6. Step 6: Final answer
    x = 9,772.70

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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.