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Finding the Fourth Proportional to 13,645.98, 20,444.60 and 7,402

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Solution

The fourth proportional to 13,645.98, 20,444.60 and 7,402 is: 11,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.98 : 20,444.60 = 7,402 : x
  2. Step 2: Convert to fraction form
    13,645.98/20,444.60 = 7,402/x
  3. Step 3: Cross multiply
    13,645.98x = 20,444.60 × 7,402
  4. Step 4: Simplify right side
    13,645.98x = 151,330,929.20
  5. Step 5: Solve for x
    x = 151,330,929.20/13,645.98
  6. Step 6: Final answer
    x = 11,089.78

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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.