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Finding the Fourth Proportional to 13,478.72, 20,218.08 and 8,275.20

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Solution

The fourth proportional to 13,478.72, 20,218.08 and 8,275.20 is: 12,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.72 : 20,218.08 = 8,275.20 : x
  2. Step 2: Convert to fraction form
    13,478.72/20,218.08 = 8,275.20/x
  3. Step 3: Cross multiply
    13,478.72x = 20,218.08 × 8,275.20
  4. Step 4: Simplify right side
    13,478.72x = 167,308,655.62
  5. Step 5: Solve for x
    x = 167,308,655.62/13,478.72
  6. Step 6: Final answer
    x = 12,412.80

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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.