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Finding the Fourth Proportional to 20,382, 28,127.28 and 12,003.36

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Solution

The fourth proportional to 20,382, 28,127.28 and 12,003.36 is: 16,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382 : 28,127.28 = 12,003.36 : x
  2. Step 2: Convert to fraction form
    20,382/28,127.28 = 12,003.36/x
  3. Step 3: Cross multiply
    20,382x = 28,127.28 × 12,003.36
  4. Step 4: Simplify right side
    20,382x = 337,621,867.66
  5. Step 5: Solve for x
    x = 337,621,867.66/20,382
  6. Step 6: Final answer
    x = 16,564.71

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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.