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Finding the Fourth Proportional to 15,642, 23,440.56 and 11,742

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Solution

The fourth proportional to 15,642, 23,440.56 and 11,742 is: 17,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,440.56 = 11,742 : x
  2. Step 2: Convert to fraction form
    15,642/23,440.56 = 11,742/x
  3. Step 3: Cross multiply
    15,642x = 23,440.56 × 11,742
  4. Step 4: Simplify right side
    15,642x = 275,239,055.52
  5. Step 5: Solve for x
    x = 275,239,055.52/15,642
  6. Step 6: Final answer
    x = 17,596.15

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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.