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Finding the Fourth Proportional to 15,756.78, 23,617.89 and 7,531.50

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Solution

The fourth proportional to 15,756.78, 23,617.89 and 7,531.50 is: 11,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.78 : 23,617.89 = 7,531.50 : x
  2. Step 2: Convert to fraction form
    15,756.78/23,617.89 = 7,531.50/x
  3. Step 3: Cross multiply
    15,756.78x = 23,617.89 × 7,531.50
  4. Step 4: Simplify right side
    15,756.78x = 177,878,138.54
  5. Step 5: Solve for x
    x = 177,878,138.54/15,756.78
  6. Step 6: Final answer
    x = 11,288.99

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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.