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Finding the Fourth Proportional to 32,781, 45,238.02 and 17,877

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Solution

The fourth proportional to 32,781, 45,238.02 and 17,877 is: 24,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781 : 45,238.02 = 17,877 : x
  2. Step 2: Convert to fraction form
    32,781/45,238.02 = 17,877/x
  3. Step 3: Cross multiply
    32,781x = 45,238.02 × 17,877
  4. Step 4: Simplify right side
    32,781x = 808,720,083.54
  5. Step 5: Solve for x
    x = 808,720,083.54/32,781
  6. Step 6: Final answer
    x = 24,670.39

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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.