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Finding the Fourth Proportional to 2,702.76, 4,052.52 and 853.08

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Solution

The fourth proportional to 2,702.76, 4,052.52 and 853.08 is: 1,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.76 : 4,052.52 = 853.08 : x
  2. Step 2: Convert to fraction form
    2,702.76/4,052.52 = 853.08/x
  3. Step 3: Cross multiply
    2,702.76x = 4,052.52 × 853.08
  4. Step 4: Simplify right side
    2,702.76x = 3,457,123.76
  5. Step 5: Solve for x
    x = 3,457,123.76/2,702.76
  6. Step 6: Final answer
    x = 1,279.11

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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.