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Finding the Fourth Proportional to 1,742, 2,610.26 and 961.32

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Solution

The fourth proportional to 1,742, 2,610.26 and 961.32 is: 1,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,610.26 = 961.32 : x
  2. Step 2: Convert to fraction form
    1,742/2,610.26 = 961.32/x
  3. Step 3: Cross multiply
    1,742x = 2,610.26 × 961.32
  4. Step 4: Simplify right side
    1,742x = 2,509,295.14
  5. Step 5: Solve for x
    x = 2,509,295.14/1,742
  6. Step 6: Final answer
    x = 1,440.47

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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.