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Finding the Fourth Proportional to 43,034, 64,551 and 13,850

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Solution

The fourth proportional to 43,034, 64,551 and 13,850 is: 20,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,034 : 64,551 = 13,850 : x
  2. Step 2: Convert to fraction form
    43,034/64,551 = 13,850/x
  3. Step 3: Cross multiply
    43,034x = 64,551 × 13,850
  4. Step 4: Simplify right side
    43,034x = 894,031,350
  5. Step 5: Solve for x
    x = 894,031,350/43,034
  6. Step 6: Final answer
    x = 20,775

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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.