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Finding the Fourth Proportional to 15,206.31, 20,984.82 and 8,492.03

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Solution

The fourth proportional to 15,206.31, 20,984.82 and 8,492.03 is: 11,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.31 : 20,984.82 = 8,492.03 : x
  2. Step 2: Convert to fraction form
    15,206.31/20,984.82 = 8,492.03/x
  3. Step 3: Cross multiply
    15,206.31x = 20,984.82 × 8,492.03
  4. Step 4: Simplify right side
    15,206.31x = 178,203,616.06
  5. Step 5: Solve for x
    x = 178,203,616.06/15,206.31
  6. Step 6: Final answer
    x = 11,719.06

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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.