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Finding the Fourth Proportional to 1,543.42, 2,129.88 and 844.75

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Solution

The fourth proportional to 1,543.42, 2,129.88 and 844.75 is: 1,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.42 : 2,129.88 = 844.75 : x
  2. Step 2: Convert to fraction form
    1,543.42/2,129.88 = 844.75/x
  3. Step 3: Cross multiply
    1,543.42x = 2,129.88 × 844.75
  4. Step 4: Simplify right side
    1,543.42x = 1,799,216.13
  5. Step 5: Solve for x
    x = 1,799,216.13/1,543.42
  6. Step 6: Final answer
    x = 1,165.73

Related Problems

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Half scale
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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.