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Finding the Fourth Proportional to 20,335, 30,502.52 and 8,023

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Solution

The fourth proportional to 20,335, 30,502.52 and 8,023 is: 12,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335 : 30,502.52 = 8,023 : x
  2. Step 2: Convert to fraction form
    20,335/30,502.52 = 8,023/x
  3. Step 3: Cross multiply
    20,335x = 30,502.52 × 8,023
  4. Step 4: Simplify right side
    20,335x = 244,721,717.96
  5. Step 5: Solve for x
    x = 244,721,717.96/20,335
  6. Step 6: Final answer
    x = 12,034.51

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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.