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Finding the Fourth Proportional to 15,844.70, 21,866.80 and 8,771.58

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Solution

The fourth proportional to 15,844.70, 21,866.80 and 8,771.58 is: 12,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.70 : 21,866.80 = 8,771.58 : x
  2. Step 2: Convert to fraction form
    15,844.70/21,866.80 = 8,771.58/x
  3. Step 3: Cross multiply
    15,844.70x = 21,866.80 × 8,771.58
  4. Step 4: Simplify right side
    15,844.70x = 191,806,385.54
  5. Step 5: Solve for x
    x = 191,806,385.54/15,844.70
  6. Step 6: Final answer
    x = 12,105.40

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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.