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Finding the Fourth Proportional to 2,347.90, 3,522.49 and 788.16

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Solution

The fourth proportional to 2,347.90, 3,522.49 and 788.16 is: 1,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.90 : 3,522.49 = 788.16 : x
  2. Step 2: Convert to fraction form
    2,347.90/3,522.49 = 788.16/x
  3. Step 3: Cross multiply
    2,347.90x = 3,522.49 × 788.16
  4. Step 4: Simplify right side
    2,347.90x = 2,776,285.72
  5. Step 5: Solve for x
    x = 2,776,285.72/2,347.90
  6. Step 6: Final answer
    x = 1,182.45

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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.