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Finding the Fourth Proportional to 13,961.70, 20,966.85 and 9,830.70

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Solution

The fourth proportional to 13,961.70, 20,966.85 and 9,830.70 is: 14,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.70 : 20,966.85 = 9,830.70 : x
  2. Step 2: Convert to fraction form
    13,961.70/20,966.85 = 9,830.70/x
  3. Step 3: Cross multiply
    13,961.70x = 20,966.85 × 9,830.70
  4. Step 4: Simplify right side
    13,961.70x = 206,118,812.30
  5. Step 5: Solve for x
    x = 206,118,812.30/13,961.70
  6. Step 6: Final answer
    x = 14,763.16

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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.