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Finding the Fourth Proportional to 11,871.59, 17,811.48 and 4,478.16

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Solution

The fourth proportional to 11,871.59, 17,811.48 and 4,478.16 is: 6,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.59 : 17,811.48 = 4,478.16 : x
  2. Step 2: Convert to fraction form
    11,871.59/17,811.48 = 4,478.16/x
  3. Step 3: Cross multiply
    11,871.59x = 17,811.48 × 4,478.16
  4. Step 4: Simplify right side
    11,871.59x = 79,762,612.75
  5. Step 5: Solve for x
    x = 79,762,612.75/11,871.59
  6. Step 6: Final answer
    x = 6,718.78

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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.