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Finding the Fourth Proportional to 42,988.68, 64,478.16 and 13,404

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Solution

The fourth proportional to 42,988.68, 64,478.16 and 13,404 is: 20,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,988.68 : 64,478.16 = 13,404 : x
  2. Step 2: Convert to fraction form
    42,988.68/64,478.16 = 13,404/x
  3. Step 3: Cross multiply
    42,988.68x = 64,478.16 × 13,404
  4. Step 4: Simplify right side
    42,988.68x = 864,265,256.64
  5. Step 5: Solve for x
    x = 864,265,256.64/42,988.68
  6. Step 6: Final answer
    x = 20,104.48

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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.