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Finding the Fourth Proportional to 5,947.80, 8,909.76 and 3,606.50

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Solution

The fourth proportional to 5,947.80, 8,909.76 and 3,606.50 is: 5,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.80 : 8,909.76 = 3,606.50 : x
  2. Step 2: Convert to fraction form
    5,947.80/8,909.76 = 3,606.50/x
  3. Step 3: Cross multiply
    5,947.80x = 8,909.76 × 3,606.50
  4. Step 4: Simplify right side
    5,947.80x = 32,133,049.44
  5. Step 5: Solve for x
    x = 32,133,049.44/5,947.80
  6. Step 6: Final answer
    x = 5,402.51

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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.