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Finding the Fourth Proportional to 21,996.22, 32,978.66 and 10,303.06

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Solution

The fourth proportional to 21,996.22, 32,978.66 and 10,303.06 is: 15,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.22 : 32,978.66 = 10,303.06 : x
  2. Step 2: Convert to fraction form
    21,996.22/32,978.66 = 10,303.06/x
  3. Step 3: Cross multiply
    21,996.22x = 32,978.66 × 10,303.06
  4. Step 4: Simplify right side
    21,996.22x = 339,781,112.70
  5. Step 5: Solve for x
    x = 339,781,112.70/21,996.22
  6. Step 6: Final answer
    x = 15,447.25

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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.