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Finding the Fourth Proportional to 1,742.54, 2,610.28 and 862.38

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Solution

The fourth proportional to 1,742.54, 2,610.28 and 862.38 is: 1,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.54 : 2,610.28 = 862.38 : x
  2. Step 2: Convert to fraction form
    1,742.54/2,610.28 = 862.38/x
  3. Step 3: Cross multiply
    1,742.54x = 2,610.28 × 862.38
  4. Step 4: Simplify right side
    1,742.54x = 2,251,060.51
  5. Step 5: Solve for x
    x = 2,251,060.51/1,742.54
  6. Step 6: Final answer
    x = 1,291.83

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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.