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Finding the Fourth Proportional to 4,657.48, 6,986.12 and 2,190.94

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Solution

The fourth proportional to 4,657.48, 6,986.12 and 2,190.94 is: 3,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.48 : 6,986.12 = 2,190.94 : x
  2. Step 2: Convert to fraction form
    4,657.48/6,986.12 = 2,190.94/x
  3. Step 3: Cross multiply
    4,657.48x = 6,986.12 × 2,190.94
  4. Step 4: Simplify right side
    4,657.48x = 15,306,140.30
  5. Step 5: Solve for x
    x = 15,306,140.30/4,657.48
  6. Step 6: Final answer
    x = 3,286.35

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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.