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Finding the Fourth Proportional to 12,348, 18,522 and 4,957.56

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Solution

The fourth proportional to 12,348, 18,522 and 4,957.56 is: 7,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348 : 18,522 = 4,957.56 : x
  2. Step 2: Convert to fraction form
    12,348/18,522 = 4,957.56/x
  3. Step 3: Cross multiply
    12,348x = 18,522 × 4,957.56
  4. Step 4: Simplify right side
    12,348x = 91,823,926.32
  5. Step 5: Solve for x
    x = 91,823,926.32/12,348
  6. Step 6: Final answer
    x = 7,436.34

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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.