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Finding the Fourth Proportional to 8,894, 12,274.80 and 5,168

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Solution

The fourth proportional to 8,894, 12,274.80 and 5,168 is: 7,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894 : 12,274.80 = 5,168 : x
  2. Step 2: Convert to fraction form
    8,894/12,274.80 = 5,168/x
  3. Step 3: Cross multiply
    8,894x = 12,274.80 × 5,168
  4. Step 4: Simplify right side
    8,894x = 63,436,166.40
  5. Step 5: Solve for x
    x = 63,436,166.40/8,894
  6. Step 6: Final answer
    x = 7,132.47

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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.