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Finding the Fourth Proportional to 2,520.40, 3,780.61 and 765.42

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Solution

The fourth proportional to 2,520.40, 3,780.61 and 765.42 is: 1,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.40 : 3,780.61 = 765.42 : x
  2. Step 2: Convert to fraction form
    2,520.40/3,780.61 = 765.42/x
  3. Step 3: Cross multiply
    2,520.40x = 3,780.61 × 765.42
  4. Step 4: Simplify right side
    2,520.40x = 2,893,754.51
  5. Step 5: Solve for x
    x = 2,893,754.51/2,520.40
  6. Step 6: Final answer
    x = 1,148.13

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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.