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Finding the Fourth Proportional to 1,543.87, 2,130.02 and 914.61

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Solution

The fourth proportional to 1,543.87, 2,130.02 and 914.61 is: 1,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.87 : 2,130.02 = 914.61 : x
  2. Step 2: Convert to fraction form
    1,543.87/2,130.02 = 914.61/x
  3. Step 3: Cross multiply
    1,543.87x = 2,130.02 × 914.61
  4. Step 4: Simplify right side
    1,543.87x = 1,948,137.59
  5. Step 5: Solve for x
    x = 1,948,137.59/1,543.87
  6. Step 6: Final answer
    x = 1,261.85

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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.