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Finding the Fourth Proportional to 8,419.32, 12,609.54 and 8,127.72

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Solution

The fourth proportional to 8,419.32, 12,609.54 and 8,127.72 is: 12,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.32 : 12,609.54 = 8,127.72 : x
  2. Step 2: Convert to fraction form
    8,419.32/12,609.54 = 8,127.72/x
  3. Step 3: Cross multiply
    8,419.32x = 12,609.54 × 8,127.72
  4. Step 4: Simplify right side
    8,419.32x = 102,486,810.45
  5. Step 5: Solve for x
    x = 102,486,810.45/8,419.32
  6. Step 6: Final answer
    x = 12,172.81

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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.