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Finding the Fourth Proportional to 5,240, 7,859.44 and 1,542.24

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Solution

The fourth proportional to 5,240, 7,859.44 and 1,542.24 is: 2,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240 : 7,859.44 = 1,542.24 : x
  2. Step 2: Convert to fraction form
    5,240/7,859.44 = 1,542.24/x
  3. Step 3: Cross multiply
    5,240x = 7,859.44 × 1,542.24
  4. Step 4: Simplify right side
    5,240x = 12,121,142.75
  5. Step 5: Solve for x
    x = 12,121,142.75/5,240
  6. Step 6: Final answer
    x = 2,313.20

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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.