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Finding the Fourth Proportional to 7,031.04, 9,702.10 and 3,887

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Solution

The fourth proportional to 7,031.04, 9,702.10 and 3,887 is: 5,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.04 : 9,702.10 = 3,887 : x
  2. Step 2: Convert to fraction form
    7,031.04/9,702.10 = 3,887/x
  3. Step 3: Cross multiply
    7,031.04x = 9,702.10 × 3,887
  4. Step 4: Simplify right side
    7,031.04x = 37,712,062.70
  5. Step 5: Solve for x
    x = 37,712,062.70/7,031.04
  6. Step 6: Final answer
    x = 5,363.65

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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.