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Finding the Fourth Proportional to 5,208.38, 7,821.80 and 4,993.12

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Solution

The fourth proportional to 5,208.38, 7,821.80 and 4,993.12 is: 7,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.38 : 7,821.80 = 4,993.12 : x
  2. Step 2: Convert to fraction form
    5,208.38/7,821.80 = 4,993.12/x
  3. Step 3: Cross multiply
    5,208.38x = 7,821.80 × 4,993.12
  4. Step 4: Simplify right side
    5,208.38x = 39,055,186.02
  5. Step 5: Solve for x
    x = 39,055,186.02/5,208.38
  6. Step 6: Final answer
    x = 7,498.53

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1.5x scale

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.