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Finding the Fourth Proportional to 2,185.74, 3,278.52 and 542.25

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Solution

The fourth proportional to 2,185.74, 3,278.52 and 542.25 is: 813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.74 : 3,278.52 = 542.25 : x
  2. Step 2: Convert to fraction form
    2,185.74/3,278.52 = 542.25/x
  3. Step 3: Cross multiply
    2,185.74x = 3,278.52 × 542.25
  4. Step 4: Simplify right side
    2,185.74x = 1,777,777.47
  5. Step 5: Solve for x
    x = 1,777,777.47/2,185.74
  6. Step 6: Final answer
    x = 813.35

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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.