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Finding the Fourth Proportional to 17,694, 26,545.80 and 5,382

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Solution

The fourth proportional to 17,694, 26,545.80 and 5,382 is: 8,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694 : 26,545.80 = 5,382 : x
  2. Step 2: Convert to fraction form
    17,694/26,545.80 = 5,382/x
  3. Step 3: Cross multiply
    17,694x = 26,545.80 × 5,382
  4. Step 4: Simplify right side
    17,694x = 142,869,495.60
  5. Step 5: Solve for x
    x = 142,869,495.60/17,694
  6. Step 6: Final answer
    x = 8,074.46

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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.