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Finding the Fourth Proportional to 13,356.34, 19,984.29 and 8,203.12

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Solution

The fourth proportional to 13,356.34, 19,984.29 and 8,203.12 is: 12,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356.34 : 19,984.29 = 8,203.12 : x
  2. Step 2: Convert to fraction form
    13,356.34/19,984.29 = 8,203.12/x
  3. Step 3: Cross multiply
    13,356.34x = 19,984.29 × 8,203.12
  4. Step 4: Simplify right side
    13,356.34x = 163,933,528.98
  5. Step 5: Solve for x
    x = 163,933,528.98/13,356.34
  6. Step 6: Final answer
    x = 12,273.84

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1.5x scale

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.