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Finding the Fourth Proportional to 38,200, 57,323.04 and 16,312

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Solution

The fourth proportional to 38,200, 57,323.04 and 16,312 is: 24,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200 : 57,323.04 = 16,312 : x
  2. Step 2: Convert to fraction form
    38,200/57,323.04 = 16,312/x
  3. Step 3: Cross multiply
    38,200x = 57,323.04 × 16,312
  4. Step 4: Simplify right side
    38,200x = 935,053,428.48
  5. Step 5: Solve for x
    x = 935,053,428.48/38,200
  6. Step 6: Final answer
    x = 24,477.84

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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.