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Finding the Fourth Proportional to 5,472, 8,210.88 and 2,697.84

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Solution

The fourth proportional to 5,472, 8,210.88 and 2,697.84 is: 4,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472 : 8,210.88 = 2,697.84 : x
  2. Step 2: Convert to fraction form
    5,472/8,210.88 = 2,697.84/x
  3. Step 3: Cross multiply
    5,472x = 8,210.88 × 2,697.84
  4. Step 4: Simplify right side
    5,472x = 22,151,640.50
  5. Step 5: Solve for x
    x = 22,151,640.50/5,472
  6. Step 6: Final answer
    x = 4,048.18

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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.