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Finding the Fourth Proportional to 13,287.90, 19,922.04 and 11,221.14

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Solution

The fourth proportional to 13,287.90, 19,922.04 and 11,221.14 is: 16,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.90 : 19,922.04 = 11,221.14 : x
  2. Step 2: Convert to fraction form
    13,287.90/19,922.04 = 11,221.14/x
  3. Step 3: Cross multiply
    13,287.90x = 19,922.04 × 11,221.14
  4. Step 4: Simplify right side
    13,287.90x = 223,547,999.93
  5. Step 5: Solve for x
    x = 223,547,999.93/13,287.90
  6. Step 6: Final answer
    x = 16,823.43

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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.