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Finding the Fourth Proportional to 8,602.50, 11,869.62 and 5,064.42

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Solution

The fourth proportional to 8,602.50, 11,869.62 and 5,064.42 is: 6,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.50 : 11,869.62 = 5,064.42 : x
  2. Step 2: Convert to fraction form
    8,602.50/11,869.62 = 5,064.42/x
  3. Step 3: Cross multiply
    8,602.50x = 11,869.62 × 5,064.42
  4. Step 4: Simplify right side
    8,602.50x = 60,112,740.92
  5. Step 5: Solve for x
    x = 60,112,740.92/8,602.50
  6. Step 6: Final answer
    x = 6,987.82

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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.