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Finding the Fourth Proportional to 22,705.92, 31,330.56 and 12,768

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Solution

The fourth proportional to 22,705.92, 31,330.56 and 12,768 is: 17,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.92 : 31,330.56 = 12,768 : x
  2. Step 2: Convert to fraction form
    22,705.92/31,330.56 = 12,768/x
  3. Step 3: Cross multiply
    22,705.92x = 31,330.56 × 12,768
  4. Step 4: Simplify right side
    22,705.92x = 400,028,590.08
  5. Step 5: Solve for x
    x = 400,028,590.08/22,705.92
  6. Step 6: Final answer
    x = 17,617.81

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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.