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Finding the Fourth Proportional to 8,064.72, 11,129.76 and 4,920

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Solution

The fourth proportional to 8,064.72, 11,129.76 and 4,920 is: 6,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.72 : 11,129.76 = 4,920 : x
  2. Step 2: Convert to fraction form
    8,064.72/11,129.76 = 4,920/x
  3. Step 3: Cross multiply
    8,064.72x = 11,129.76 × 4,920
  4. Step 4: Simplify right side
    8,064.72x = 54,758,419.20
  5. Step 5: Solve for x
    x = 54,758,419.20/8,064.72
  6. Step 6: Final answer
    x = 6,789.87

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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.