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Finding the Fourth Proportional to 7,859.80, 10,837.02 and 5,760.28

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Solution

The fourth proportional to 7,859.80, 10,837.02 and 5,760.28 is: 7,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.80 : 10,837.02 = 5,760.28 : x
  2. Step 2: Convert to fraction form
    7,859.80/10,837.02 = 5,760.28/x
  3. Step 3: Cross multiply
    7,859.80x = 10,837.02 × 5,760.28
  4. Step 4: Simplify right side
    7,859.80x = 62,424,269.57
  5. Step 5: Solve for x
    x = 62,424,269.57/7,859.80
  6. Step 6: Final answer
    x = 7,942.22

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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.