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Finding the Fourth Proportional to 15,072.16, 20,799.54 and 8,357.84

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Solution

The fourth proportional to 15,072.16, 20,799.54 and 8,357.84 is: 11,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.16 : 20,799.54 = 8,357.84 : x
  2. Step 2: Convert to fraction form
    15,072.16/20,799.54 = 8,357.84/x
  3. Step 3: Cross multiply
    15,072.16x = 20,799.54 × 8,357.84
  4. Step 4: Simplify right side
    15,072.16x = 173,839,227.39
  5. Step 5: Solve for x
    x = 173,839,227.39/15,072.16
  6. Step 6: Final answer
    x = 11,533.80

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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.