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Finding the Fourth Proportional to 2,520.14, 3,780.23 and 876.69

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Solution

The fourth proportional to 2,520.14, 3,780.23 and 876.69 is: 1,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.14 : 3,780.23 = 876.69 : x
  2. Step 2: Convert to fraction form
    2,520.14/3,780.23 = 876.69/x
  3. Step 3: Cross multiply
    2,520.14x = 3,780.23 × 876.69
  4. Step 4: Simplify right side
    2,520.14x = 3,314,085.46
  5. Step 5: Solve for x
    x = 3,314,085.46/2,520.14
  6. Step 6: Final answer
    x = 1,315.04

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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.