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Finding the Fourth Proportional to 2,909.54, 4,364.96 and 961.63

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Solution

The fourth proportional to 2,909.54, 4,364.96 and 961.63 is: 1,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.54 : 4,364.96 = 961.63 : x
  2. Step 2: Convert to fraction form
    2,909.54/4,364.96 = 961.63/x
  3. Step 3: Cross multiply
    2,909.54x = 4,364.96 × 961.63
  4. Step 4: Simplify right side
    2,909.54x = 4,197,460.76
  5. Step 5: Solve for x
    x = 4,197,460.76/2,909.54
  6. Step 6: Final answer
    x = 1,442.65

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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.