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Finding the Fourth Proportional to 1,126.10, 1,687.80 and 837.20

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Solution

The fourth proportional to 1,126.10, 1,687.80 and 837.20 is: 1,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.10 : 1,687.80 = 837.20 : x
  2. Step 2: Convert to fraction form
    1,126.10/1,687.80 = 837.20/x
  3. Step 3: Cross multiply
    1,126.10x = 1,687.80 × 837.20
  4. Step 4: Simplify right side
    1,126.10x = 1,413,026.16
  5. Step 5: Solve for x
    x = 1,413,026.16/1,126.10
  6. Step 6: Final answer
    x = 1,254.80

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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.