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Finding the Fourth Proportional to 2,354.32, 3,531.12 and 623.08

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Solution

The fourth proportional to 2,354.32, 3,531.12 and 623.08 is: 934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.32 : 3,531.12 = 623.08 : x
  2. Step 2: Convert to fraction form
    2,354.32/3,531.12 = 623.08/x
  3. Step 3: Cross multiply
    2,354.32x = 3,531.12 × 623.08
  4. Step 4: Simplify right side
    2,354.32x = 2,200,170.25
  5. Step 5: Solve for x
    x = 2,200,170.25/2,354.32
  6. Step 6: Final answer
    x = 934.52

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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.