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Finding the Fourth Proportional to 13,684.43, 20,526.43 and 7,442.97

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Solution

The fourth proportional to 13,684.43, 20,526.43 and 7,442.97 is: 11,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.43 : 20,526.43 = 7,442.97 : x
  2. Step 2: Convert to fraction form
    13,684.43/20,526.43 = 7,442.97/x
  3. Step 3: Cross multiply
    13,684.43x = 20,526.43 × 7,442.97
  4. Step 4: Simplify right side
    13,684.43x = 152,777,602.70
  5. Step 5: Solve for x
    x = 152,777,602.70/13,684.43
  6. Step 6: Final answer
    x = 11,164.34

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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.