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Finding the Fourth Proportional to 21,988.90, 32,971.20 and 7,190.20

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Solution

The fourth proportional to 21,988.90, 32,971.20 and 7,190.20 is: 10,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.90 : 32,971.20 = 7,190.20 : x
  2. Step 2: Convert to fraction form
    21,988.90/32,971.20 = 7,190.20/x
  3. Step 3: Cross multiply
    21,988.90x = 32,971.20 × 7,190.20
  4. Step 4: Simplify right side
    21,988.90x = 237,069,522.24
  5. Step 5: Solve for x
    x = 237,069,522.24/21,988.90
  6. Step 6: Final answer
    x = 10,781.33

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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.