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Finding the Fourth Proportional to 2,278, 3,417.49 and 1,291.28

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Solution

The fourth proportional to 2,278, 3,417.49 and 1,291.28 is: 1,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278 : 3,417.49 = 1,291.28 : x
  2. Step 2: Convert to fraction form
    2,278/3,417.49 = 1,291.28/x
  3. Step 3: Cross multiply
    2,278x = 3,417.49 × 1,291.28
  4. Step 4: Simplify right side
    2,278x = 4,412,936.49
  5. Step 5: Solve for x
    x = 4,412,936.49/2,278
  6. Step 6: Final answer
    x = 1,937.20

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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.