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Finding the Fourth Proportional to 21,651, 32,382.68 and 12,745.10

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Solution

The fourth proportional to 21,651, 32,382.68 and 12,745.10 is: 19,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651 : 32,382.68 = 12,745.10 : x
  2. Step 2: Convert to fraction form
    21,651/32,382.68 = 12,745.10/x
  3. Step 3: Cross multiply
    21,651x = 32,382.68 × 12,745.10
  4. Step 4: Simplify right side
    21,651x = 412,720,269.23
  5. Step 5: Solve for x
    x = 412,720,269.23/21,651
  6. Step 6: Final answer
    x = 19,062.41

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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.