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Finding the Fourth Proportional to 22,415, 30,934.86 and 12,479

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Solution

The fourth proportional to 22,415, 30,934.86 and 12,479 is: 17,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415 : 30,934.86 = 12,479 : x
  2. Step 2: Convert to fraction form
    22,415/30,934.86 = 12,479/x
  3. Step 3: Cross multiply
    22,415x = 30,934.86 × 12,479
  4. Step 4: Simplify right side
    22,415x = 386,036,117.94
  5. Step 5: Solve for x
    x = 386,036,117.94/22,415
  6. Step 6: Final answer
    x = 17,222.22

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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.