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Finding the Fourth Proportional to 8,922.25, 13,384.20 and 2,348.47

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Solution

The fourth proportional to 8,922.25, 13,384.20 and 2,348.47 is: 3,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.25 : 13,384.20 = 2,348.47 : x
  2. Step 2: Convert to fraction form
    8,922.25/13,384.20 = 2,348.47/x
  3. Step 3: Cross multiply
    8,922.25x = 13,384.20 × 2,348.47
  4. Step 4: Simplify right side
    8,922.25x = 31,432,392.17
  5. Step 5: Solve for x
    x = 31,432,392.17/8,922.25
  6. Step 6: Final answer
    x = 3,522.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.