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Finding the Fourth Proportional to 11,248, 15,522.78 and 6,212.95

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Solution

The fourth proportional to 11,248, 15,522.78 and 6,212.95 is: 8,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248 : 15,522.78 = 6,212.95 : x
  2. Step 2: Convert to fraction form
    11,248/15,522.78 = 6,212.95/x
  3. Step 3: Cross multiply
    11,248x = 15,522.78 × 6,212.95
  4. Step 4: Simplify right side
    11,248x = 96,442,256.00
  5. Step 5: Solve for x
    x = 96,442,256.00/11,248
  6. Step 6: Final answer
    x = 8,574.17

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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.