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Finding the Fourth Proportional to 42,652, 64,001.04 and 20,764

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Solution

The fourth proportional to 42,652, 64,001.04 and 20,764 is: 31,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652 : 64,001.04 = 20,764 : x
  2. Step 2: Convert to fraction form
    42,652/64,001.04 = 20,764/x
  3. Step 3: Cross multiply
    42,652x = 64,001.04 × 20,764
  4. Step 4: Simplify right side
    42,652x = 1,328,917,594.56
  5. Step 5: Solve for x
    x = 1,328,917,594.56/42,652
  6. Step 6: Final answer
    x = 31,157.22

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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.