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Finding the Fourth Proportional to 38,612, 53,284.56 and 20,948

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Solution

The fourth proportional to 38,612, 53,284.56 and 20,948 is: 28,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,612 : 53,284.56 = 20,948 : x
  2. Step 2: Convert to fraction form
    38,612/53,284.56 = 20,948/x
  3. Step 3: Cross multiply
    38,612x = 53,284.56 × 20,948
  4. Step 4: Simplify right side
    38,612x = 1,116,204,962.88
  5. Step 5: Solve for x
    x = 1,116,204,962.88/38,612
  6. Step 6: Final answer
    x = 28,908.24

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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.