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Finding the Fourth Proportional to 10,097.92, 15,148.56 and 3,172

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Solution

The fourth proportional to 10,097.92, 15,148.56 and 3,172 is: 4,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.92 : 15,148.56 = 3,172 : x
  2. Step 2: Convert to fraction form
    10,097.92/15,148.56 = 3,172/x
  3. Step 3: Cross multiply
    10,097.92x = 15,148.56 × 3,172
  4. Step 4: Simplify right side
    10,097.92x = 48,051,232.32
  5. Step 5: Solve for x
    x = 48,051,232.32/10,097.92
  6. Step 6: Final answer
    x = 4,758.53

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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.