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Finding the Fourth Proportional to 9,135.97, 13,705.97 and 2,897.89

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Solution

The fourth proportional to 9,135.97, 13,705.97 and 2,897.89 is: 4,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.97 : 13,705.97 = 2,897.89 : x
  2. Step 2: Convert to fraction form
    9,135.97/13,705.97 = 2,897.89/x
  3. Step 3: Cross multiply
    9,135.97x = 13,705.97 × 2,897.89
  4. Step 4: Simplify right side
    9,135.97x = 39,718,393.40
  5. Step 5: Solve for x
    x = 39,718,393.40/9,135.97
  6. Step 6: Final answer
    x = 4,347.47

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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.