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Finding the Fourth Proportional to 8,642.92, 11,927.30 and 4,917.16

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Solution

The fourth proportional to 8,642.92, 11,927.30 and 4,917.16 is: 6,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.92 : 11,927.30 = 4,917.16 : x
  2. Step 2: Convert to fraction form
    8,642.92/11,927.30 = 4,917.16/x
  3. Step 3: Cross multiply
    8,642.92x = 11,927.30 × 4,917.16
  4. Step 4: Simplify right side
    8,642.92x = 58,648,442.47
  5. Step 5: Solve for x
    x = 58,648,442.47/8,642.92
  6. Step 6: Final answer
    x = 6,785.72

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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.