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Finding the Fourth Proportional to 5,428.80, 8,164.80 and 4,867.20

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Solution

The fourth proportional to 5,428.80, 8,164.80 and 4,867.20 is: 7,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.80 : 8,164.80 = 4,867.20 : x
  2. Step 2: Convert to fraction form
    5,428.80/8,164.80 = 4,867.20/x
  3. Step 3: Cross multiply
    5,428.80x = 8,164.80 × 4,867.20
  4. Step 4: Simplify right side
    5,428.80x = 39,739,714.56
  5. Step 5: Solve for x
    x = 39,739,714.56/5,428.80
  6. Step 6: Final answer
    x = 7,320.17

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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.