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Finding the Fourth Proportional to 12,649.60, 18,974.40 and 8,421.40

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Solution

The fourth proportional to 12,649.60, 18,974.40 and 8,421.40 is: 12,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.60 : 18,974.40 = 8,421.40 : x
  2. Step 2: Convert to fraction form
    12,649.60/18,974.40 = 8,421.40/x
  3. Step 3: Cross multiply
    12,649.60x = 18,974.40 × 8,421.40
  4. Step 4: Simplify right side
    12,649.60x = 159,791,012.16
  5. Step 5: Solve for x
    x = 159,791,012.16/12,649.60
  6. Step 6: Final answer
    x = 12,632.10

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Similar ratio
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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.