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Finding the Fourth Proportional to 2,185.80, 3,278.70 and 542.36

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Solution

The fourth proportional to 2,185.80, 3,278.70 and 542.36 is: 813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.80 : 3,278.70 = 542.36 : x
  2. Step 2: Convert to fraction form
    2,185.80/3,278.70 = 542.36/x
  3. Step 3: Cross multiply
    2,185.80x = 3,278.70 × 542.36
  4. Step 4: Simplify right side
    2,185.80x = 1,778,219.34
  5. Step 5: Solve for x
    x = 1,778,219.34/2,185.80
  6. Step 6: Final answer
    x = 813.53

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Similar ratio
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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.