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Finding the Fourth Proportional to 22,382, 30,887.84 and 12,309.92

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Solution

The fourth proportional to 22,382, 30,887.84 and 12,309.92 is: 16,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382 : 30,887.84 = 12,309.92 : x
  2. Step 2: Convert to fraction form
    22,382/30,887.84 = 12,309.92/x
  3. Step 3: Cross multiply
    22,382x = 30,887.84 × 12,309.92
  4. Step 4: Simplify right side
    22,382x = 380,226,839.37
  5. Step 5: Solve for x
    x = 380,226,839.37/22,382
  6. Step 6: Final answer
    x = 16,988.06

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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.