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Finding the Fourth Proportional to 38,642.07, 57,984.64 and 20,872.37

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Solution

The fourth proportional to 38,642.07, 57,984.64 and 20,872.37 is: 31,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.07 : 57,984.64 = 20,872.37 : x
  2. Step 2: Convert to fraction form
    38,642.07/57,984.64 = 20,872.37/x
  3. Step 3: Cross multiply
    38,642.07x = 57,984.64 × 20,872.37
  4. Step 4: Simplify right side
    38,642.07x = 1,210,276,860.40
  5. Step 5: Solve for x
    x = 1,210,276,860.40/38,642.07
  6. Step 6: Final answer
    x = 31,320.19

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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.