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Finding the Fourth Proportional to 22,533.89, 31,099.10 and 12,974.11

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Solution

The fourth proportional to 22,533.89, 31,099.10 and 12,974.11 is: 17,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.89 : 31,099.10 = 12,974.11 : x
  2. Step 2: Convert to fraction form
    22,533.89/31,099.10 = 12,974.11/x
  3. Step 3: Cross multiply
    22,533.89x = 31,099.10 × 12,974.11
  4. Step 4: Simplify right side
    22,533.89x = 403,483,001.68
  5. Step 5: Solve for x
    x = 403,483,001.68/22,533.89
  6. Step 6: Final answer
    x = 17,905.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.