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Finding the Fourth Proportional to 2,348.46, 3,522.78 and 788.40

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Solution

The fourth proportional to 2,348.46, 3,522.78 and 788.40 is: 1,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.46 : 3,522.78 = 788.40 : x
  2. Step 2: Convert to fraction form
    2,348.46/3,522.78 = 788.40/x
  3. Step 3: Cross multiply
    2,348.46x = 3,522.78 × 788.40
  4. Step 4: Simplify right side
    2,348.46x = 2,777,359.75
  5. Step 5: Solve for x
    x = 2,777,359.75/2,348.46
  6. Step 6: Final answer
    x = 1,182.63

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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.