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Finding the Fourth Proportional to 2,545.80, 3,826.80 and 1,820.40

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Solution

The fourth proportional to 2,545.80, 3,826.80 and 1,820.40 is: 2,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.80 : 3,826.80 = 1,820.40 : x
  2. Step 2: Convert to fraction form
    2,545.80/3,826.80 = 1,820.40/x
  3. Step 3: Cross multiply
    2,545.80x = 3,826.80 × 1,820.40
  4. Step 4: Simplify right side
    2,545.80x = 6,966,306.72
  5. Step 5: Solve for x
    x = 6,966,306.72/2,545.80
  6. Step 6: Final answer
    x = 2,736.39

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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.