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Finding the Fourth Proportional to 2,605.32, 3,907.92 and 961.68

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Solution

The fourth proportional to 2,605.32, 3,907.92 and 961.68 is: 1,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.32 : 3,907.92 = 961.68 : x
  2. Step 2: Convert to fraction form
    2,605.32/3,907.92 = 961.68/x
  3. Step 3: Cross multiply
    2,605.32x = 3,907.92 × 961.68
  4. Step 4: Simplify right side
    2,605.32x = 3,758,168.51
  5. Step 5: Solve for x
    x = 3,758,168.51/2,605.32
  6. Step 6: Final answer
    x = 1,442.50

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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.