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Finding the Fourth Proportional to 1,561.31, 2,154.62 and 853.17

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Solution

The fourth proportional to 1,561.31, 2,154.62 and 853.17 is: 1,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.31 : 2,154.62 = 853.17 : x
  2. Step 2: Convert to fraction form
    1,561.31/2,154.62 = 853.17/x
  3. Step 3: Cross multiply
    1,561.31x = 2,154.62 × 853.17
  4. Step 4: Simplify right side
    1,561.31x = 1,838,257.15
  5. Step 5: Solve for x
    x = 1,838,257.15/1,561.31
  6. Step 6: Final answer
    x = 1,177.38

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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.