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Finding the Fourth Proportional to 15,889.11, 21,917.85 and 9,910.40

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Solution

The fourth proportional to 15,889.11, 21,917.85 and 9,910.40 is: 13,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.11 : 21,917.85 = 9,910.40 : x
  2. Step 2: Convert to fraction form
    15,889.11/21,917.85 = 9,910.40/x
  3. Step 3: Cross multiply
    15,889.11x = 21,917.85 × 9,910.40
  4. Step 4: Simplify right side
    15,889.11x = 217,214,551.05
  5. Step 5: Solve for x
    x = 217,214,551.05/15,889.11
  6. Step 6: Final answer
    x = 13,670.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.