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Finding the Fourth Proportional to 13,910.40, 20,822.40 and 10,022.40

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Solution

The fourth proportional to 13,910.40, 20,822.40 and 10,022.40 is: 15,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.40 : 20,822.40 = 10,022.40 : x
  2. Step 2: Convert to fraction form
    13,910.40/20,822.40 = 10,022.40/x
  3. Step 3: Cross multiply
    13,910.40x = 20,822.40 × 10,022.40
  4. Step 4: Simplify right side
    13,910.40x = 208,690,421.76
  5. Step 5: Solve for x
    x = 208,690,421.76/13,910.40
  6. Step 6: Final answer
    x = 15,002.47

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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.