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Finding the Fourth Proportional to 15,945, 22,009.86 and 10,991.40

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Solution

The fourth proportional to 15,945, 22,009.86 and 10,991.40 is: 15,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945 : 22,009.86 = 10,991.40 : x
  2. Step 2: Convert to fraction form
    15,945/22,009.86 = 10,991.40/x
  3. Step 3: Cross multiply
    15,945x = 22,009.86 × 10,991.40
  4. Step 4: Simplify right side
    15,945x = 241,919,175.20
  5. Step 5: Solve for x
    x = 241,919,175.20/15,945
  6. Step 6: Final answer
    x = 15,172.10

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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.