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Finding the Fourth Proportional to 21,988.49, 32,986.85 and 7,198.20

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Solution

The fourth proportional to 21,988.49, 32,986.85 and 7,198.20 is: 10,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.49 : 32,986.85 = 7,198.20 : x
  2. Step 2: Convert to fraction form
    21,988.49/32,986.85 = 7,198.20/x
  3. Step 3: Cross multiply
    21,988.49x = 32,986.85 × 7,198.20
  4. Step 4: Simplify right side
    21,988.49x = 237,445,907.68
  5. Step 5: Solve for x
    x = 237,445,907.68/21,988.49
  6. Step 6: Final answer
    x = 10,798.65

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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.