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Finding the Fourth Proportional to 13,392, 20,070.72 and 9,901.44

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Solution

The fourth proportional to 13,392, 20,070.72 and 9,901.44 is: 14,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,392 : 20,070.72 = 9,901.44 : x
  2. Step 2: Convert to fraction form
    13,392/20,070.72 = 9,901.44/x
  3. Step 3: Cross multiply
    13,392x = 20,070.72 × 9,901.44
  4. Step 4: Simplify right side
    13,392x = 198,729,029.84
  5. Step 5: Solve for x
    x = 198,729,029.84/13,392
  6. Step 6: Final answer
    x = 14,839.38

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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.