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Finding the Fourth Proportional to 2,185.85, 3,278.80 and 542.40

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Solution

The fourth proportional to 2,185.85, 3,278.80 and 542.40 is: 813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.85 : 3,278.80 = 542.40 : x
  2. Step 2: Convert to fraction form
    2,185.85/3,278.80 = 542.40/x
  3. Step 3: Cross multiply
    2,185.85x = 3,278.80 × 542.40
  4. Step 4: Simplify right side
    2,185.85x = 1,778,421.12
  5. Step 5: Solve for x
    x = 1,778,421.12/2,185.85
  6. Step 6: Final answer
    x = 813.61

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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.