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Finding the Fourth Proportional to 5,520, 8,280.02 and 5,243.16

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Solution

The fourth proportional to 5,520, 8,280.02 and 5,243.16 is: 7,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520 : 8,280.02 = 5,243.16 : x
  2. Step 2: Convert to fraction form
    5,520/8,280.02 = 5,243.16/x
  3. Step 3: Cross multiply
    5,520x = 8,280.02 × 5,243.16
  4. Step 4: Simplify right side
    5,520x = 43,413,469.66
  5. Step 5: Solve for x
    x = 43,413,469.66/5,520
  6. Step 6: Final answer
    x = 7,864.76

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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.