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Finding the Fourth Proportional to 29,894.61, 44,846.78 and 10,171.11

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Solution

The fourth proportional to 29,894.61, 44,846.78 and 10,171.11 is: 15,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.61 : 44,846.78 = 10,171.11 : x
  2. Step 2: Convert to fraction form
    29,894.61/44,846.78 = 10,171.11/x
  3. Step 3: Cross multiply
    29,894.61x = 44,846.78 × 10,171.11
  4. Step 4: Simplify right side
    29,894.61x = 456,141,532.53
  5. Step 5: Solve for x
    x = 456,141,532.53/29,894.61
  6. Step 6: Final answer
    x = 15,258.32

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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.