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Finding the Fourth Proportional to 8,602.50, 11,871.45 and 4,876.50

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Solution

The fourth proportional to 8,602.50, 11,871.45 and 4,876.50 is: 6,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.50 : 11,871.45 = 4,876.50 : x
  2. Step 2: Convert to fraction form
    8,602.50/11,871.45 = 4,876.50/x
  3. Step 3: Cross multiply
    8,602.50x = 11,871.45 × 4,876.50
  4. Step 4: Simplify right side
    8,602.50x = 57,891,125.93
  5. Step 5: Solve for x
    x = 57,891,125.93/8,602.50
  6. Step 6: Final answer
    x = 6,729.57

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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.