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Finding the Fourth Proportional to 2,158.96, 3,239.08 and 925.76

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Solution

The fourth proportional to 2,158.96, 3,239.08 and 925.76 is: 1,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.96 : 3,239.08 = 925.76 : x
  2. Step 2: Convert to fraction form
    2,158.96/3,239.08 = 925.76/x
  3. Step 3: Cross multiply
    2,158.96x = 3,239.08 × 925.76
  4. Step 4: Simplify right side
    2,158.96x = 2,998,610.70
  5. Step 5: Solve for x
    x = 2,998,610.70/2,158.96
  6. Step 6: Final answer
    x = 1,388.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.