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Finding the Fourth Proportional to 1,636.88, 2,259.26 and 1,007.95

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Solution

The fourth proportional to 1,636.88, 2,259.26 and 1,007.95 is: 1,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.88 : 2,259.26 = 1,007.95 : x
  2. Step 2: Convert to fraction form
    1,636.88/2,259.26 = 1,007.95/x
  3. Step 3: Cross multiply
    1,636.88x = 2,259.26 × 1,007.95
  4. Step 4: Simplify right side
    1,636.88x = 2,277,221.12
  5. Step 5: Solve for x
    x = 2,277,221.12/1,636.88
  6. Step 6: Final answer
    x = 1,391.20

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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.