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Finding the Fourth Proportional to 6,292.80, 9,441.90 and 3,214.80

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Solution

The fourth proportional to 6,292.80, 9,441.90 and 3,214.80 is: 4,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.80 : 9,441.90 = 3,214.80 : x
  2. Step 2: Convert to fraction form
    6,292.80/9,441.90 = 3,214.80/x
  3. Step 3: Cross multiply
    6,292.80x = 9,441.90 × 3,214.80
  4. Step 4: Simplify right side
    6,292.80x = 30,353,820.12
  5. Step 5: Solve for x
    x = 30,353,820.12/6,292.80
  6. Step 6: Final answer
    x = 4,823.58

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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.