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Finding the Fourth Proportional to 2,378.60, 3,567.92 and 735.12

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Solution

The fourth proportional to 2,378.60, 3,567.92 and 735.12 is: 1,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.60 : 3,567.92 = 735.12 : x
  2. Step 2: Convert to fraction form
    2,378.60/3,567.92 = 735.12/x
  3. Step 3: Cross multiply
    2,378.60x = 3,567.92 × 735.12
  4. Step 4: Simplify right side
    2,378.60x = 2,622,849.35
  5. Step 5: Solve for x
    x = 2,622,849.35/2,378.60
  6. Step 6: Final answer
    x = 1,102.69

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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.