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Finding the Fourth Proportional to 7,047.82, 9,726 and 3,904

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Solution

The fourth proportional to 7,047.82, 9,726 and 3,904 is: 5,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.82 : 9,726 = 3,904 : x
  2. Step 2: Convert to fraction form
    7,047.82/9,726 = 3,904/x
  3. Step 3: Cross multiply
    7,047.82x = 9,726 × 3,904
  4. Step 4: Simplify right side
    7,047.82x = 37,970,304
  5. Step 5: Solve for x
    x = 37,970,304/7,047.82
  6. Step 6: Final answer
    x = 5,387.52

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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.