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Finding the Fourth Proportional to 1,542.75, 2,129.04 and 844.17

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Solution

The fourth proportional to 1,542.75, 2,129.04 and 844.17 is: 1,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.75 : 2,129.04 = 844.17 : x
  2. Step 2: Convert to fraction form
    1,542.75/2,129.04 = 844.17/x
  3. Step 3: Cross multiply
    1,542.75x = 2,129.04 × 844.17
  4. Step 4: Simplify right side
    1,542.75x = 1,797,271.70
  5. Step 5: Solve for x
    x = 1,797,271.70/1,542.75
  6. Step 6: Final answer
    x = 1,164.98

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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.