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Finding the Fourth Proportional to 22,411.16, 30,926.04 and 12,977.90

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Solution

The fourth proportional to 22,411.16, 30,926.04 and 12,977.90 is: 17,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.16 : 30,926.04 = 12,977.90 : x
  2. Step 2: Convert to fraction form
    22,411.16/30,926.04 = 12,977.90/x
  3. Step 3: Cross multiply
    22,411.16x = 30,926.04 × 12,977.90
  4. Step 4: Simplify right side
    22,411.16x = 401,355,054.52
  5. Step 5: Solve for x
    x = 401,355,054.52/22,411.16
  6. Step 6: Final answer
    x = 17,908.71

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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.