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Finding the Fourth Proportional to 2,840.70, 3,920.90 and 2,545.46

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Solution

The fourth proportional to 2,840.70, 3,920.90 and 2,545.46 is: 3,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.70 : 3,920.90 = 2,545.46 : x
  2. Step 2: Convert to fraction form
    2,840.70/3,920.90 = 2,545.46/x
  3. Step 3: Cross multiply
    2,840.70x = 3,920.90 × 2,545.46
  4. Step 4: Simplify right side
    2,840.70x = 9,980,461.78
  5. Step 5: Solve for x
    x = 9,980,461.78/2,840.70
  6. Step 6: Final answer
    x = 3,513.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.