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Finding the Fourth Proportional to 2,663.87, 3,678.41 and 2,545.07

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Solution

The fourth proportional to 2,663.87, 3,678.41 and 2,545.07 is: 3,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.87 : 3,678.41 = 2,545.07 : x
  2. Step 2: Convert to fraction form
    2,663.87/3,678.41 = 2,545.07/x
  3. Step 3: Cross multiply
    2,663.87x = 3,678.41 × 2,545.07
  4. Step 4: Simplify right side
    2,663.87x = 9,361,798.21
  5. Step 5: Solve for x
    x = 9,361,798.21/2,663.87
  6. Step 6: Final answer
    x = 3,514.36

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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.