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Finding the Fourth Proportional to 12,849.87, 17,731.40 and 7,260.87

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Solution

The fourth proportional to 12,849.87, 17,731.40 and 7,260.87 is: 10,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.87 : 17,731.40 = 7,260.87 : x
  2. Step 2: Convert to fraction form
    12,849.87/17,731.40 = 7,260.87/x
  3. Step 3: Cross multiply
    12,849.87x = 17,731.40 × 7,260.87
  4. Step 4: Simplify right side
    12,849.87x = 128,745,354.01
  5. Step 5: Solve for x
    x = 128,745,354.01/12,849.87
  6. Step 6: Final answer
    x = 10,019.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.