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Finding the Fourth Proportional to 20,072, 27,664.80 and 18,868.16

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Solution

The fourth proportional to 20,072, 27,664.80 and 18,868.16 is: 26,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 27,664.80 = 18,868.16 : x
  2. Step 2: Convert to fraction form
    20,072/27,664.80 = 18,868.16/x
  3. Step 3: Cross multiply
    20,072x = 27,664.80 × 18,868.16
  4. Step 4: Simplify right side
    20,072x = 521,983,872.77
  5. Step 5: Solve for x
    x = 521,983,872.77/20,072
  6. Step 6: Final answer
    x = 26,005.57

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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.