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Finding the Fourth Proportional to 15,761.79, 23,647.55 and 7,441.47

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Solution

The fourth proportional to 15,761.79, 23,647.55 and 7,441.47 is: 11,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.79 : 23,647.55 = 7,441.47 : x
  2. Step 2: Convert to fraction form
    15,761.79/23,647.55 = 7,441.47/x
  3. Step 3: Cross multiply
    15,761.79x = 23,647.55 × 7,441.47
  4. Step 4: Simplify right side
    15,761.79x = 175,972,496.69
  5. Step 5: Solve for x
    x = 175,972,496.69/15,761.79
  6. Step 6: Final answer
    x = 11,164.50

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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.