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Finding the Fourth Proportional to 6,523.46, 9,783.14 and 2,139.90

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Solution

The fourth proportional to 6,523.46, 9,783.14 and 2,139.90 is: 3,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.46 : 9,783.14 = 2,139.90 : x
  2. Step 2: Convert to fraction form
    6,523.46/9,783.14 = 2,139.90/x
  3. Step 3: Cross multiply
    6,523.46x = 9,783.14 × 2,139.90
  4. Step 4: Simplify right side
    6,523.46x = 20,934,893.90
  5. Step 5: Solve for x
    x = 20,934,893.90/6,523.46
  6. Step 6: Final answer
    x = 3,209.17

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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.