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Finding the Fourth Proportional to 42,937.80, 64,404 and 13,353.36

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Solution

The fourth proportional to 42,937.80, 64,404 and 13,353.36 is: 20,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,937.80 : 64,404 = 13,353.36 : x
  2. Step 2: Convert to fraction form
    42,937.80/64,404 = 13,353.36/x
  3. Step 3: Cross multiply
    42,937.80x = 64,404 × 13,353.36
  4. Step 4: Simplify right side
    42,937.80x = 860,009,797.44
  5. Step 5: Solve for x
    x = 860,009,797.44/42,937.80
  6. Step 6: Final answer
    x = 20,029.20

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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.