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Finding the Fourth Proportional to 1,349.76, 1,861.68 and 852.48

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Solution

The fourth proportional to 1,349.76, 1,861.68 and 852.48 is: 1,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.76 : 1,861.68 = 852.48 : x
  2. Step 2: Convert to fraction form
    1,349.76/1,861.68 = 852.48/x
  3. Step 3: Cross multiply
    1,349.76x = 1,861.68 × 852.48
  4. Step 4: Simplify right side
    1,349.76x = 1,587,044.97
  5. Step 5: Solve for x
    x = 1,587,044.97/1,349.76
  6. Step 6: Final answer
    x = 1,175.80

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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.