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Finding the Fourth Proportional to 32,701, 45,115.75 and 21,377

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Solution

The fourth proportional to 32,701, 45,115.75 and 21,377 is: 29,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701 : 45,115.75 = 21,377 : x
  2. Step 2: Convert to fraction form
    32,701/45,115.75 = 21,377/x
  3. Step 3: Cross multiply
    32,701x = 45,115.75 × 21,377
  4. Step 4: Simplify right side
    32,701x = 964,439,387.75
  5. Step 5: Solve for x
    x = 964,439,387.75/32,701
  6. Step 6: Final answer
    x = 29,492.66

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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.