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Finding the Fourth Proportional to 1,854.61, 2,545.73 and 1,640.09

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Solution

The fourth proportional to 1,854.61, 2,545.73 and 1,640.09 is: 2,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.61 : 2,545.73 = 1,640.09 : x
  2. Step 2: Convert to fraction form
    1,854.61/2,545.73 = 1,640.09/x
  3. Step 3: Cross multiply
    1,854.61x = 2,545.73 × 1,640.09
  4. Step 4: Simplify right side
    1,854.61x = 4,175,226.32
  5. Step 5: Solve for x
    x = 4,175,226.32/1,854.61
  6. Step 6: Final answer
    x = 2,251.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.