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Finding the Fourth Proportional to 7,049, 9,726.54 and 3,905.12

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Solution

The fourth proportional to 7,049, 9,726.54 and 3,905.12 is: 5,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049 : 9,726.54 = 3,905.12 : x
  2. Step 2: Convert to fraction form
    7,049/9,726.54 = 3,905.12/x
  3. Step 3: Cross multiply
    7,049x = 9,726.54 × 3,905.12
  4. Step 4: Simplify right side
    7,049x = 37,983,305.88
  5. Step 5: Solve for x
    x = 37,983,305.88/7,049
  6. Step 6: Final answer
    x = 5,388.47

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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.