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Finding the Fourth Proportional to 10,618.64, 15,930.84 and 3,223.34

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Solution

The fourth proportional to 10,618.64, 15,930.84 and 3,223.34 is: 4,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.64 : 15,930.84 = 3,223.34 : x
  2. Step 2: Convert to fraction form
    10,618.64/15,930.84 = 3,223.34/x
  3. Step 3: Cross multiply
    10,618.64x = 15,930.84 × 3,223.34
  4. Step 4: Simplify right side
    10,618.64x = 51,350,513.81
  5. Step 5: Solve for x
    x = 51,350,513.81/10,618.64
  6. Step 6: Final answer
    x = 4,835.88

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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.