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Finding the Fourth Proportional to 5,760.74, 7,948.41 and 3,521.80

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Solution

The fourth proportional to 5,760.74, 7,948.41 and 3,521.80 is: 4,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.74 : 7,948.41 = 3,521.80 : x
  2. Step 2: Convert to fraction form
    5,760.74/7,948.41 = 3,521.80/x
  3. Step 3: Cross multiply
    5,760.74x = 7,948.41 × 3,521.80
  4. Step 4: Simplify right side
    5,760.74x = 27,992,707.07
  5. Step 5: Solve for x
    x = 27,992,707.07/5,760.74
  6. Step 6: Final answer
    x = 4,859.22

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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.