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Finding the Fourth Proportional to 7,058.78, 9,741.05 and 3,872.01

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Solution

The fourth proportional to 7,058.78, 9,741.05 and 3,872.01 is: 5,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.78 : 9,741.05 = 3,872.01 : x
  2. Step 2: Convert to fraction form
    7,058.78/9,741.05 = 3,872.01/x
  3. Step 3: Cross multiply
    7,058.78x = 9,741.05 × 3,872.01
  4. Step 4: Simplify right side
    7,058.78x = 37,717,443.01
  5. Step 5: Solve for x
    x = 37,717,443.01/7,058.78
  6. Step 6: Final answer
    x = 5,343.34

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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.