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Finding the Fourth Proportional to 22,296.51, 30,768.93 and 12,864.87

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Solution

The fourth proportional to 22,296.51, 30,768.93 and 12,864.87 is: 17,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.51 : 30,768.93 = 12,864.87 : x
  2. Step 2: Convert to fraction form
    22,296.51/30,768.93 = 12,864.87/x
  3. Step 3: Cross multiply
    22,296.51x = 30,768.93 × 12,864.87
  4. Step 4: Simplify right side
    22,296.51x = 395,838,284.49
  5. Step 5: Solve for x
    x = 395,838,284.49/22,296.51
  6. Step 6: Final answer
    x = 17,753.37

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