Home / 15,431-23,146.50-5,042.75

Finding the Fourth Proportional to 15,431, 23,146.50 and 5,042.75

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Solution

The fourth proportional to 15,431, 23,146.50 and 5,042.75 is: 7,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431 : 23,146.50 = 5,042.75 : x
  2. Step 2: Convert to fraction form
    15,431/23,146.50 = 5,042.75/x
  3. Step 3: Cross multiply
    15,431x = 23,146.50 × 5,042.75
  4. Step 4: Simplify right side
    15,431x = 116,722,012.88
  5. Step 5: Solve for x
    x = 116,722,012.88/15,431
  6. Step 6: Final answer
    x = 7,564.13

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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.