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Finding the Fourth Proportional to 15,400, 21,252.06 and 8,326.47

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Solution

The fourth proportional to 15,400, 21,252.06 and 8,326.47 is: 11,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 21,252.06 = 8,326.47 : x
  2. Step 2: Convert to fraction form
    15,400/21,252.06 = 8,326.47/x
  3. Step 3: Cross multiply
    15,400x = 21,252.06 × 8,326.47
  4. Step 4: Simplify right side
    15,400x = 176,954,640.03
  5. Step 5: Solve for x
    x = 176,954,640.03/15,400
  6. Step 6: Final answer
    x = 11,490.56

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1.5x scale

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.