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Finding the Fourth Proportional to 20,339.84, 30,513.12 and 6,488

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Solution

The fourth proportional to 20,339.84, 30,513.12 and 6,488 is: 9,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,339.84 : 30,513.12 = 6,488 : x
  2. Step 2: Convert to fraction form
    20,339.84/30,513.12 = 6,488/x
  3. Step 3: Cross multiply
    20,339.84x = 30,513.12 × 6,488
  4. Step 4: Simplify right side
    20,339.84x = 197,969,122.56
  5. Step 5: Solve for x
    x = 197,969,122.56/20,339.84
  6. Step 6: Final answer
    x = 9,733.07

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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.