Home / 1,026.12-1,540.88-974.16

Finding the Fourth Proportional to 1,026.12, 1,540.88 and 974.16

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Solution

The fourth proportional to 1,026.12, 1,540.88 and 974.16 is: 1,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.12 : 1,540.88 = 974.16 : x
  2. Step 2: Convert to fraction form
    1,026.12/1,540.88 = 974.16/x
  3. Step 3: Cross multiply
    1,026.12x = 1,540.88 × 974.16
  4. Step 4: Simplify right side
    1,026.12x = 1,501,063.66
  5. Step 5: Solve for x
    x = 1,501,063.66/1,026.12
  6. Step 6: Final answer
    x = 1,462.85

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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.