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Finding the Fourth Proportional to 1,543.77, 2,130.89 and 914.27

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Solution

The fourth proportional to 1,543.77, 2,130.89 and 914.27 is: 1,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.77 : 2,130.89 = 914.27 : x
  2. Step 2: Convert to fraction form
    1,543.77/2,130.89 = 914.27/x
  3. Step 3: Cross multiply
    1,543.77x = 2,130.89 × 914.27
  4. Step 4: Simplify right side
    1,543.77x = 1,948,193.57
  5. Step 5: Solve for x
    x = 1,948,193.57/1,543.77
  6. Step 6: Final answer
    x = 1,261.97

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Double scale
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1.5x scale

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.