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Finding the Fourth Proportional to 2,909.32, 4,363.65 and 2,738.00

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Solution

The fourth proportional to 2,909.32, 4,363.65 and 2,738.00 is: 4,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.32 : 4,363.65 = 2,738.00 : x
  2. Step 2: Convert to fraction form
    2,909.32/4,363.65 = 2,738.00/x
  3. Step 3: Cross multiply
    2,909.32x = 4,363.65 × 2,738.00
  4. Step 4: Simplify right side
    2,909.32x = 11,947,684.61
  5. Step 5: Solve for x
    x = 11,947,684.61/2,909.32
  6. Step 6: Final answer
    x = 4,106.70

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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.