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Finding the Fourth Proportional to 13,438.74, 20,154.87 and 4,204.74

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Solution

The fourth proportional to 13,438.74, 20,154.87 and 4,204.74 is: 6,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.74 : 20,154.87 = 4,204.74 : x
  2. Step 2: Convert to fraction form
    13,438.74/20,154.87 = 4,204.74/x
  3. Step 3: Cross multiply
    13,438.74x = 20,154.87 × 4,204.74
  4. Step 4: Simplify right side
    13,438.74x = 84,745,988.08
  5. Step 5: Solve for x
    x = 84,745,988.08/13,438.74
  6. Step 6: Final answer
    x = 6,306.10

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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.