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Finding the Fourth Proportional to 10,615, 15,929.34 and 4,459

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Solution

The fourth proportional to 10,615, 15,929.34 and 4,459 is: 6,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615 : 15,929.34 = 4,459 : x
  2. Step 2: Convert to fraction form
    10,615/15,929.34 = 4,459/x
  3. Step 3: Cross multiply
    10,615x = 15,929.34 × 4,459
  4. Step 4: Simplify right side
    10,615x = 71,028,927.06
  5. Step 5: Solve for x
    x = 71,028,927.06/10,615
  6. Step 6: Final answer
    x = 6,691.37

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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.