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Finding the Fourth Proportional to 14,584.68, 20,118.47 and 9,205.20

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Solution

The fourth proportional to 14,584.68, 20,118.47 and 9,205.20 is: 12,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.68 : 20,118.47 = 9,205.20 : x
  2. Step 2: Convert to fraction form
    14,584.68/20,118.47 = 9,205.20/x
  3. Step 3: Cross multiply
    14,584.68x = 20,118.47 × 9,205.20
  4. Step 4: Simplify right side
    14,584.68x = 185,194,494.02
  5. Step 5: Solve for x
    x = 185,194,494.02/14,584.68
  6. Step 6: Final answer
    x = 12,697.88

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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.