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Finding the Fourth Proportional to 7,871.50, 11,811.20 and 4,909.18

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Solution

The fourth proportional to 7,871.50, 11,811.20 and 4,909.18 is: 7,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.50 : 11,811.20 = 4,909.18 : x
  2. Step 2: Convert to fraction form
    7,871.50/11,811.20 = 4,909.18/x
  3. Step 3: Cross multiply
    7,871.50x = 11,811.20 × 4,909.18
  4. Step 4: Simplify right side
    7,871.50x = 57,983,306.82
  5. Step 5: Solve for x
    x = 57,983,306.82/7,871.50
  6. Step 6: Final answer
    x = 7,366.23

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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.