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Finding the Fourth Proportional to 13,902.30, 20,853.45 and 12,822.30

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Solution

The fourth proportional to 13,902.30, 20,853.45 and 12,822.30 is: 19,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.30 : 20,853.45 = 12,822.30 : x
  2. Step 2: Convert to fraction form
    13,902.30/20,853.45 = 12,822.30/x
  3. Step 3: Cross multiply
    13,902.30x = 20,853.45 × 12,822.30
  4. Step 4: Simplify right side
    13,902.30x = 267,389,191.94
  5. Step 5: Solve for x
    x = 267,389,191.94/13,902.30
  6. Step 6: Final answer
    x = 19,233.45

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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.