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Finding the Fourth Proportional to 5,240, 7,231.20 and 2,882.36

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Solution

The fourth proportional to 5,240, 7,231.20 and 2,882.36 is: 3,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240 : 7,231.20 = 2,882.36 : x
  2. Step 2: Convert to fraction form
    5,240/7,231.20 = 2,882.36/x
  3. Step 3: Cross multiply
    5,240x = 7,231.20 × 2,882.36
  4. Step 4: Simplify right side
    5,240x = 20,842,921.63
  5. Step 5: Solve for x
    x = 20,842,921.63/5,240
  6. Step 6: Final answer
    x = 3,977.66

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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.