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Finding the Fourth Proportional to 60,840, 83,961 and 33,983.64

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Solution

The fourth proportional to 60,840, 83,961 and 33,983.64 is: 46,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,840 : 83,961 = 33,983.64 : x
  2. Step 2: Convert to fraction form
    60,840/83,961 = 33,983.64/x
  3. Step 3: Cross multiply
    60,840x = 83,961 × 33,983.64
  4. Step 4: Simplify right side
    60,840x = 2,853,300,398.04
  5. Step 5: Solve for x
    x = 2,853,300,398.04/60,840
  6. Step 6: Final answer
    x = 46,898.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.