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Finding the Fourth Proportional to 22,424, 30,946.08 and 12,488

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Solution

The fourth proportional to 22,424, 30,946.08 and 12,488 is: 17,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424 : 30,946.08 = 12,488 : x
  2. Step 2: Convert to fraction form
    22,424/30,946.08 = 12,488/x
  3. Step 3: Cross multiply
    22,424x = 30,946.08 × 12,488
  4. Step 4: Simplify right side
    22,424x = 386,454,647.04
  5. Step 5: Solve for x
    x = 386,454,647.04/22,424
  6. Step 6: Final answer
    x = 17,233.97

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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.