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Finding the Fourth Proportional to 21,640.98, 32,465.68 and 8,313

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Solution

The fourth proportional to 21,640.98, 32,465.68 and 8,313 is: 12,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.98 : 32,465.68 = 8,313 : x
  2. Step 2: Convert to fraction form
    21,640.98/32,465.68 = 8,313/x
  3. Step 3: Cross multiply
    21,640.98x = 32,465.68 × 8,313
  4. Step 4: Simplify right side
    21,640.98x = 269,887,177.06
  5. Step 5: Solve for x
    x = 269,887,177.06/21,640.98
  6. Step 6: Final answer
    x = 12,471.12

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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.