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Finding the Fourth Proportional to 2,354.61, 3,531.93 and 711.15

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Solution

The fourth proportional to 2,354.61, 3,531.93 and 711.15 is: 1,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.61 : 3,531.93 = 711.15 : x
  2. Step 2: Convert to fraction form
    2,354.61/3,531.93 = 711.15/x
  3. Step 3: Cross multiply
    2,354.61x = 3,531.93 × 711.15
  4. Step 4: Simplify right side
    2,354.61x = 2,511,732.02
  5. Step 5: Solve for x
    x = 2,511,732.02/2,354.61
  6. Step 6: Final answer
    x = 1,066.73

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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.