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Finding the Fourth Proportional to 21,991.14, 32,989.95 and 7,952.22

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Solution

The fourth proportional to 21,991.14, 32,989.95 and 7,952.22 is: 11,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.14 : 32,989.95 = 7,952.22 : x
  2. Step 2: Convert to fraction form
    21,991.14/32,989.95 = 7,952.22/x
  3. Step 3: Cross multiply
    21,991.14x = 32,989.95 × 7,952.22
  4. Step 4: Simplify right side
    21,991.14x = 262,343,340.19
  5. Step 5: Solve for x
    x = 262,343,340.19/21,991.14
  6. Step 6: Final answer
    x = 11,929.50

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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.