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Finding the Fourth Proportional to 29,911.92, 44,868.24 and 12,812.51

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Solution

The fourth proportional to 29,911.92, 44,868.24 and 12,812.51 is: 19,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,911.92 : 44,868.24 = 12,812.51 : x
  2. Step 2: Convert to fraction form
    29,911.92/44,868.24 = 12,812.51/x
  3. Step 3: Cross multiply
    29,911.92x = 44,868.24 × 12,812.51
  4. Step 4: Simplify right side
    29,911.92x = 574,874,549.34
  5. Step 5: Solve for x
    x = 574,874,549.34/29,911.92
  6. Step 6: Final answer
    x = 19,218.91

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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.