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Finding the Fourth Proportional to 15,822.16, 21,834.02 and 8,651.84

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Solution

The fourth proportional to 15,822.16, 21,834.02 and 8,651.84 is: 11,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.16 : 21,834.02 = 8,651.84 : x
  2. Step 2: Convert to fraction form
    15,822.16/21,834.02 = 8,651.84/x
  3. Step 3: Cross multiply
    15,822.16x = 21,834.02 × 8,651.84
  4. Step 4: Simplify right side
    15,822.16x = 188,904,360.06
  5. Step 5: Solve for x
    x = 188,904,360.06/15,822.16
  6. Step 6: Final answer
    x = 11,939.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.