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Finding the Fourth Proportional to 7,031.56, 9,703.62 and 3,888.04

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Solution

The fourth proportional to 7,031.56, 9,703.62 and 3,888.04 is: 5,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.56 : 9,703.62 = 3,888.04 : x
  2. Step 2: Convert to fraction form
    7,031.56/9,703.62 = 3,888.04/x
  3. Step 3: Cross multiply
    7,031.56x = 9,703.62 × 3,888.04
  4. Step 4: Simplify right side
    7,031.56x = 37,728,062.70
  5. Step 5: Solve for x
    x = 37,728,062.70/7,031.56
  6. Step 6: Final answer
    x = 5,365.53

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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.