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Finding the Fourth Proportional to 2,971.73, 4,103.16 and 2,264.80

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Solution

The fourth proportional to 2,971.73, 4,103.16 and 2,264.80 is: 3,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.73 : 4,103.16 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    2,971.73/4,103.16 = 2,264.80/x
  3. Step 3: Cross multiply
    2,971.73x = 4,103.16 × 2,264.80
  4. Step 4: Simplify right side
    2,971.73x = 9,292,816.25
  5. Step 5: Solve for x
    x = 9,292,816.25/2,971.73
  6. Step 6: Final answer
    x = 3,127.08

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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.