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Finding the Fourth Proportional to 11,760.78, 17,648.10 and 4,744.20

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Solution

The fourth proportional to 11,760.78, 17,648.10 and 4,744.20 is: 7,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.78 : 17,648.10 = 4,744.20 : x
  2. Step 2: Convert to fraction form
    11,760.78/17,648.10 = 4,744.20/x
  3. Step 3: Cross multiply
    11,760.78x = 17,648.10 × 4,744.20
  4. Step 4: Simplify right side
    11,760.78x = 83,726,116.02
  5. Step 5: Solve for x
    x = 83,726,116.02/11,760.78
  6. Step 6: Final answer
    x = 7,119.10

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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.