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Finding the Fourth Proportional to 11,555.90, 15,949.78 and 9,664.20

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Solution

The fourth proportional to 11,555.90, 15,949.78 and 9,664.20 is: 13,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.90 : 15,949.78 = 9,664.20 : x
  2. Step 2: Convert to fraction form
    11,555.90/15,949.78 = 9,664.20/x
  3. Step 3: Cross multiply
    11,555.90x = 15,949.78 × 9,664.20
  4. Step 4: Simplify right side
    11,555.90x = 154,141,863.88
  5. Step 5: Solve for x
    x = 154,141,863.88/11,555.90
  6. Step 6: Final answer
    x = 13,338.80

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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.