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Finding the Fourth Proportional to 7,064.90, 9,750 and 3,921.10

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Solution

The fourth proportional to 7,064.90, 9,750 and 3,921.10 is: 5,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.90 : 9,750 = 3,921.10 : x
  2. Step 2: Convert to fraction form
    7,064.90/9,750 = 3,921.10/x
  3. Step 3: Cross multiply
    7,064.90x = 9,750 × 3,921.10
  4. Step 4: Simplify right side
    7,064.90x = 38,230,725
  5. Step 5: Solve for x
    x = 38,230,725/7,064.90
  6. Step 6: Final answer
    x = 5,411.36

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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.