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Finding the Fourth Proportional to 5,210.80, 7,805.16 and 4,839.04

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Solution

The fourth proportional to 5,210.80, 7,805.16 and 4,839.04 is: 7,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.80 : 7,805.16 = 4,839.04 : x
  2. Step 2: Convert to fraction form
    5,210.80/7,805.16 = 4,839.04/x
  3. Step 3: Cross multiply
    5,210.80x = 7,805.16 × 4,839.04
  4. Step 4: Simplify right side
    5,210.80x = 37,769,481.45
  5. Step 5: Solve for x
    x = 37,769,481.45/5,210.80
  6. Step 6: Final answer
    x = 7,248.31

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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.