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Finding the Fourth Proportional to 7,287.89, 10,057.16 and 4,143.87

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Solution

The fourth proportional to 7,287.89, 10,057.16 and 4,143.87 is: 5,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.89 : 10,057.16 = 4,143.87 : x
  2. Step 2: Convert to fraction form
    7,287.89/10,057.16 = 4,143.87/x
  3. Step 3: Cross multiply
    7,287.89x = 10,057.16 × 4,143.87
  4. Step 4: Simplify right side
    7,287.89x = 41,675,573.97
  5. Step 5: Solve for x
    x = 41,675,573.97/7,287.89
  6. Step 6: Final answer
    x = 5,718.47

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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.