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Finding the Fourth Proportional to 21,132.34, 31,698.87 and 7,990.90

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Solution

The fourth proportional to 21,132.34, 31,698.87 and 7,990.90 is: 11,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.34 : 31,698.87 = 7,990.90 : x
  2. Step 2: Convert to fraction form
    21,132.34/31,698.87 = 7,990.90/x
  3. Step 3: Cross multiply
    21,132.34x = 31,698.87 × 7,990.90
  4. Step 4: Simplify right side
    21,132.34x = 253,302,500.28
  5. Step 5: Solve for x
    x = 253,302,500.28/21,132.34
  6. Step 6: Final answer
    x = 11,986.49

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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.