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Finding the Fourth Proportional to 5,440, 8,161.28 and 1,792

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Solution

The fourth proportional to 5,440, 8,161.28 and 1,792 is: 2,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440 : 8,161.28 = 1,792 : x
  2. Step 2: Convert to fraction form
    5,440/8,161.28 = 1,792/x
  3. Step 3: Cross multiply
    5,440x = 8,161.28 × 1,792
  4. Step 4: Simplify right side
    5,440x = 14,625,013.76
  5. Step 5: Solve for x
    x = 14,625,013.76/5,440
  6. Step 6: Final answer
    x = 2,688.42

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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.