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Finding the Fourth Proportional to 14,971.20, 20,659.30 and 8,256.87

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Solution

The fourth proportional to 14,971.20, 20,659.30 and 8,256.87 is: 11,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.20 : 20,659.30 = 8,256.87 : x
  2. Step 2: Convert to fraction form
    14,971.20/20,659.30 = 8,256.87/x
  3. Step 3: Cross multiply
    14,971.20x = 20,659.30 × 8,256.87
  4. Step 4: Simplify right side
    14,971.20x = 170,581,154.39
  5. Step 5: Solve for x
    x = 170,581,154.39/14,971.20
  6. Step 6: Final answer
    x = 11,393.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.