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Finding the Fourth Proportional to 22,316, 30,796.08 and 12,381.92

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Solution

The fourth proportional to 22,316, 30,796.08 and 12,381.92 is: 17,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316 : 30,796.08 = 12,381.92 : x
  2. Step 2: Convert to fraction form
    22,316/30,796.08 = 12,381.92/x
  3. Step 3: Cross multiply
    22,316x = 30,796.08 × 12,381.92
  4. Step 4: Simplify right side
    22,316x = 381,314,598.87
  5. Step 5: Solve for x
    x = 381,314,598.87/22,316
  6. Step 6: Final answer
    x = 17,087.05

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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.