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Finding the Fourth Proportional to 10,129.64, 15,174.11 and 5,048.51

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Solution

The fourth proportional to 10,129.64, 15,174.11 and 5,048.51 is: 7,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.64 : 15,174.11 = 5,048.51 : x
  2. Step 2: Convert to fraction form
    10,129.64/15,174.11 = 5,048.51/x
  3. Step 3: Cross multiply
    10,129.64x = 15,174.11 × 5,048.51
  4. Step 4: Simplify right side
    10,129.64x = 76,606,570.21
  5. Step 5: Solve for x
    x = 76,606,570.21/10,129.64
  6. Step 6: Final answer
    x = 7,562.62

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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.