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Finding the Fourth Proportional to 10,009.68, 15,002.79 and 4,082.87

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Solution

The fourth proportional to 10,009.68, 15,002.79 and 4,082.87 is: 6,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.68 : 15,002.79 = 4,082.87 : x
  2. Step 2: Convert to fraction form
    10,009.68/15,002.79 = 4,082.87/x
  3. Step 3: Cross multiply
    10,009.68x = 15,002.79 × 4,082.87
  4. Step 4: Simplify right side
    10,009.68x = 61,254,355.99
  5. Step 5: Solve for x
    x = 61,254,355.99/10,009.68
  6. Step 6: Final answer
    x = 6,119.51

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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.