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Finding the Fourth Proportional to 2,520.66, 3,780.90 and 877.20

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Solution

The fourth proportional to 2,520.66, 3,780.90 and 877.20 is: 1,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.66 : 3,780.90 = 877.20 : x
  2. Step 2: Convert to fraction form
    2,520.66/3,780.90 = 877.20/x
  3. Step 3: Cross multiply
    2,520.66x = 3,780.90 × 877.20
  4. Step 4: Simplify right side
    2,520.66x = 3,316,605.48
  5. Step 5: Solve for x
    x = 3,316,605.48/2,520.66
  6. Step 6: Final answer
    x = 1,315.77

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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.