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Finding the Fourth Proportional to 2,929.76, 4,394.64 and 738.66

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Solution

The fourth proportional to 2,929.76, 4,394.64 and 738.66 is: 1,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.76 : 4,394.64 = 738.66 : x
  2. Step 2: Convert to fraction form
    2,929.76/4,394.64 = 738.66/x
  3. Step 3: Cross multiply
    2,929.76x = 4,394.64 × 738.66
  4. Step 4: Simplify right side
    2,929.76x = 3,246,144.78
  5. Step 5: Solve for x
    x = 3,246,144.78/2,929.76
  6. Step 6: Final answer
    x = 1,107.99

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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.