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Finding the Fourth Proportional to 17,980.16, 26,971.61 and 9,221.22

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Solution

The fourth proportional to 17,980.16, 26,971.61 and 9,221.22 is: 13,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.16 : 26,971.61 = 9,221.22 : x
  2. Step 2: Convert to fraction form
    17,980.16/26,971.61 = 9,221.22/x
  3. Step 3: Cross multiply
    17,980.16x = 26,971.61 × 9,221.22
  4. Step 4: Simplify right side
    17,980.16x = 248,711,103.46
  5. Step 5: Solve for x
    x = 248,711,103.46/17,980.16
  6. Step 6: Final answer
    x = 13,832.53

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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.