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Finding the Fourth Proportional to 1,552.56, 2,142.57 and 853.95

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Solution

The fourth proportional to 1,552.56, 2,142.57 and 853.95 is: 1,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.56 : 2,142.57 = 853.95 : x
  2. Step 2: Convert to fraction form
    1,552.56/2,142.57 = 853.95/x
  3. Step 3: Cross multiply
    1,552.56x = 2,142.57 × 853.95
  4. Step 4: Simplify right side
    1,552.56x = 1,829,647.65
  5. Step 5: Solve for x
    x = 1,829,647.65/1,552.56
  6. Step 6: Final answer
    x = 1,178.47

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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.