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Finding the Fourth Proportional to 2,266, 3,130.98 and 1,872.36

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Solution

The fourth proportional to 2,266, 3,130.98 and 1,872.36 is: 2,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266 : 3,130.98 = 1,872.36 : x
  2. Step 2: Convert to fraction form
    2,266/3,130.98 = 1,872.36/x
  3. Step 3: Cross multiply
    2,266x = 3,130.98 × 1,872.36
  4. Step 4: Simplify right side
    2,266x = 5,862,321.71
  5. Step 5: Solve for x
    x = 5,862,321.71/2,266
  6. Step 6: Final answer
    x = 2,587.08

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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.