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Finding the Fourth Proportional to 13,602.40, 20,387.80 and 7,763.11

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Solution

The fourth proportional to 13,602.40, 20,387.80 and 7,763.11 is: 11,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.40 : 20,387.80 = 7,763.11 : x
  2. Step 2: Convert to fraction form
    13,602.40/20,387.80 = 7,763.11/x
  3. Step 3: Cross multiply
    13,602.40x = 20,387.80 × 7,763.11
  4. Step 4: Simplify right side
    13,602.40x = 158,272,692.79
  5. Step 5: Solve for x
    x = 158,272,692.79/13,602.40
  6. Step 6: Final answer
    x = 11,635.65

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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.