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Finding the Fourth Proportional to 15,916.64, 23,866.75 and 7,144.03

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Solution

The fourth proportional to 15,916.64, 23,866.75 and 7,144.03 is: 10,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.64 : 23,866.75 = 7,144.03 : x
  2. Step 2: Convert to fraction form
    15,916.64/23,866.75 = 7,144.03/x
  3. Step 3: Cross multiply
    15,916.64x = 23,866.75 × 7,144.03
  4. Step 4: Simplify right side
    15,916.64x = 170,504,816.77
  5. Step 5: Solve for x
    x = 170,504,816.77/15,916.64
  6. Step 6: Final answer
    x = 10,712.37

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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.