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Finding the Fourth Proportional to 2,569.08, 3,853.66 and 814.06

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Solution

The fourth proportional to 2,569.08, 3,853.66 and 814.06 is: 1,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.08 : 3,853.66 = 814.06 : x
  2. Step 2: Convert to fraction form
    2,569.08/3,853.66 = 814.06/x
  3. Step 3: Cross multiply
    2,569.08x = 3,853.66 × 814.06
  4. Step 4: Simplify right side
    2,569.08x = 3,137,110.46
  5. Step 5: Solve for x
    x = 3,137,110.46/2,569.08
  6. Step 6: Final answer
    x = 1,221.10

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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.