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Finding the Fourth Proportional to 21,862.24, 32,806.50 and 7,821.16

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Solution

The fourth proportional to 21,862.24, 32,806.50 and 7,821.16 is: 11,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.24 : 32,806.50 = 7,821.16 : x
  2. Step 2: Convert to fraction form
    21,862.24/32,806.50 = 7,821.16/x
  3. Step 3: Cross multiply
    21,862.24x = 32,806.50 × 7,821.16
  4. Step 4: Simplify right side
    21,862.24x = 256,584,885.54
  5. Step 5: Solve for x
    x = 256,584,885.54/21,862.24
  6. Step 6: Final answer
    x = 11,736.44

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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.