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Finding the Fourth Proportional to 1,142.96, 1,702.62 and 1,108.53

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Solution

The fourth proportional to 1,142.96, 1,702.62 and 1,108.53 is: 1,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.96 : 1,702.62 = 1,108.53 : x
  2. Step 2: Convert to fraction form
    1,142.96/1,702.62 = 1,108.53/x
  3. Step 3: Cross multiply
    1,142.96x = 1,702.62 × 1,108.53
  4. Step 4: Simplify right side
    1,142.96x = 1,887,405.35
  5. Step 5: Solve for x
    x = 1,887,405.35/1,142.96
  6. Step 6: Final answer
    x = 1,651.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.