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Finding the Fourth Proportional to 20,519, 30,782.88 and 6,483.14

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Solution

The fourth proportional to 20,519, 30,782.88 and 6,483.14 is: 9,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519 : 30,782.88 = 6,483.14 : x
  2. Step 2: Convert to fraction form
    20,519/30,782.88 = 6,483.14/x
  3. Step 3: Cross multiply
    20,519x = 30,782.88 × 6,483.14
  4. Step 4: Simplify right side
    20,519x = 199,569,720.64
  5. Step 5: Solve for x
    x = 199,569,720.64/20,519
  6. Step 6: Final answer
    x = 9,726.09

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1.5x scale

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.