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Finding the Fourth Proportional to 15,894, 21,934.20 and 8,821.08

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Solution

The fourth proportional to 15,894, 21,934.20 and 8,821.08 is: 12,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 21,934.20 = 8,821.08 : x
  2. Step 2: Convert to fraction form
    15,894/21,934.20 = 8,821.08/x
  3. Step 3: Cross multiply
    15,894x = 21,934.20 × 8,821.08
  4. Step 4: Simplify right side
    15,894x = 193,483,332.94
  5. Step 5: Solve for x
    x = 193,483,332.94/15,894
  6. Step 6: Final answer
    x = 12,173.36

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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.