Home / 1,026.10-1,539.76-961.24

Finding the Fourth Proportional to 1,026.10, 1,539.76 and 961.24

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Solution

The fourth proportional to 1,026.10, 1,539.76 and 961.24 is: 1,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.10 : 1,539.76 = 961.24 : x
  2. Step 2: Convert to fraction form
    1,026.10/1,539.76 = 961.24/x
  3. Step 3: Cross multiply
    1,026.10x = 1,539.76 × 961.24
  4. Step 4: Simplify right side
    1,026.10x = 1,480,078.90
  5. Step 5: Solve for x
    x = 1,480,078.90/1,026.10
  6. Step 6: Final answer
    x = 1,442.43

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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.