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Finding the Fourth Proportional to 12,941.80, 19,431.90 and 10,023.40

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Solution

The fourth proportional to 12,941.80, 19,431.90 and 10,023.40 is: 15,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.80 : 19,431.90 = 10,023.40 : x
  2. Step 2: Convert to fraction form
    12,941.80/19,431.90 = 10,023.40/x
  3. Step 3: Cross multiply
    12,941.80x = 19,431.90 × 10,023.40
  4. Step 4: Simplify right side
    12,941.80x = 194,773,706.46
  5. Step 5: Solve for x
    x = 194,773,706.46/12,941.80
  6. Step 6: Final answer
    x = 15,049.97

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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.