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Finding the Fourth Proportional to 15,642, 23,463.45 and 5,253.75

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Solution

The fourth proportional to 15,642, 23,463.45 and 5,253.75 is: 7,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,463.45 = 5,253.75 : x
  2. Step 2: Convert to fraction form
    15,642/23,463.45 = 5,253.75/x
  3. Step 3: Cross multiply
    15,642x = 23,463.45 × 5,253.75
  4. Step 4: Simplify right side
    15,642x = 123,271,100.44
  5. Step 5: Solve for x
    x = 123,271,100.44/15,642
  6. Step 6: Final answer
    x = 7,880.78

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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.