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Finding the Fourth Proportional to 12,666.14, 18,999.20 and 3,432.14

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Solution

The fourth proportional to 12,666.14, 18,999.20 and 3,432.14 is: 5,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.14 : 18,999.20 = 3,432.14 : x
  2. Step 2: Convert to fraction form
    12,666.14/18,999.20 = 3,432.14/x
  3. Step 3: Cross multiply
    12,666.14x = 18,999.20 × 3,432.14
  4. Step 4: Simplify right side
    12,666.14x = 65,207,914.29
  5. Step 5: Solve for x
    x = 65,207,914.29/12,666.14
  6. Step 6: Final answer
    x = 5,148.21

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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.