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Finding the Fourth Proportional to 2,520.42, 3,779.88 and 765.55

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Solution

The fourth proportional to 2,520.42, 3,779.88 and 765.55 is: 1,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.42 : 3,779.88 = 765.55 : x
  2. Step 2: Convert to fraction form
    2,520.42/3,779.88 = 765.55/x
  3. Step 3: Cross multiply
    2,520.42x = 3,779.88 × 765.55
  4. Step 4: Simplify right side
    2,520.42x = 2,893,687.13
  5. Step 5: Solve for x
    x = 2,893,687.13/2,520.42
  6. Step 6: Final answer
    x = 1,148.10

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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.