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Finding the Fourth Proportional to 1,647.97, 2,274.16 and 901.91

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Solution

The fourth proportional to 1,647.97, 2,274.16 and 901.91 is: 1,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.97 : 2,274.16 = 901.91 : x
  2. Step 2: Convert to fraction form
    1,647.97/2,274.16 = 901.91/x
  3. Step 3: Cross multiply
    1,647.97x = 2,274.16 × 901.91
  4. Step 4: Simplify right side
    1,647.97x = 2,051,085.93
  5. Step 5: Solve for x
    x = 2,051,085.93/1,647.97
  6. Step 6: Final answer
    x = 1,244.62

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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.