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Finding the Fourth Proportional to 10,486, 15,725.64 and 3,464.38

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Solution

The fourth proportional to 10,486, 15,725.64 and 3,464.38 is: 5,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486 : 15,725.64 = 3,464.38 : x
  2. Step 2: Convert to fraction form
    10,486/15,725.64 = 3,464.38/x
  3. Step 3: Cross multiply
    10,486x = 15,725.64 × 3,464.38
  4. Step 4: Simplify right side
    10,486x = 54,479,592.70
  5. Step 5: Solve for x
    x = 54,479,592.70/10,486
  6. Step 6: Final answer
    x = 5,195.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.