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Finding the Fourth Proportional to 1,561.71, 2,155.13 and 853.55

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Solution

The fourth proportional to 1,561.71, 2,155.13 and 853.55 is: 1,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.71 : 2,155.13 = 853.55 : x
  2. Step 2: Convert to fraction form
    1,561.71/2,155.13 = 853.55/x
  3. Step 3: Cross multiply
    1,561.71x = 2,155.13 × 853.55
  4. Step 4: Simplify right side
    1,561.71x = 1,839,504.17
  5. Step 5: Solve for x
    x = 1,839,504.17/1,561.71
  6. Step 6: Final answer
    x = 1,177.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.