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Finding the Fourth Proportional to 15,435.28, 23,154 and 7,642

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Solution

The fourth proportional to 15,435.28, 23,154 and 7,642 is: 11,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435.28 : 23,154 = 7,642 : x
  2. Step 2: Convert to fraction form
    15,435.28/23,154 = 7,642/x
  3. Step 3: Cross multiply
    15,435.28x = 23,154 × 7,642
  4. Step 4: Simplify right side
    15,435.28x = 176,942,868
  5. Step 5: Solve for x
    x = 176,942,868/15,435.28
  6. Step 6: Final answer
    x = 11,463.53

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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.