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Finding the Fourth Proportional to 12,967.40, 19,451.10 and 4,202.19

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Solution

The fourth proportional to 12,967.40, 19,451.10 and 4,202.19 is: 6,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.40 : 19,451.10 = 4,202.19 : x
  2. Step 2: Convert to fraction form
    12,967.40/19,451.10 = 4,202.19/x
  3. Step 3: Cross multiply
    12,967.40x = 19,451.10 × 4,202.19
  4. Step 4: Simplify right side
    12,967.40x = 81,737,217.91
  5. Step 5: Solve for x
    x = 81,737,217.91/12,967.40
  6. Step 6: Final answer
    x = 6,303.29

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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.