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Finding the Fourth Proportional to 12,872.70, 19,309.05 and 9,114.30

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Solution

The fourth proportional to 12,872.70, 19,309.05 and 9,114.30 is: 13,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.70 : 19,309.05 = 9,114.30 : x
  2. Step 2: Convert to fraction form
    12,872.70/19,309.05 = 9,114.30/x
  3. Step 3: Cross multiply
    12,872.70x = 19,309.05 × 9,114.30
  4. Step 4: Simplify right side
    12,872.70x = 175,988,474.42
  5. Step 5: Solve for x
    x = 175,988,474.42/12,872.70
  6. Step 6: Final answer
    x = 13,671.45

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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.