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Finding the Fourth Proportional to 7,031.52, 9,703.11 and 3,887.50

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Solution

The fourth proportional to 7,031.52, 9,703.11 and 3,887.50 is: 5,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.52 : 9,703.11 = 3,887.50 : x
  2. Step 2: Convert to fraction form
    7,031.52/9,703.11 = 3,887.50/x
  3. Step 3: Cross multiply
    7,031.52x = 9,703.11 × 3,887.50
  4. Step 4: Simplify right side
    7,031.52x = 37,720,840.13
  5. Step 5: Solve for x
    x = 37,720,840.13/7,031.52
  6. Step 6: Final answer
    x = 5,364.54

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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.