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Finding the Fourth Proportional to 6,898.70, 10,348.05 and 3,612.80

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Solution

The fourth proportional to 6,898.70, 10,348.05 and 3,612.80 is: 5,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.70 : 10,348.05 = 3,612.80 : x
  2. Step 2: Convert to fraction form
    6,898.70/10,348.05 = 3,612.80/x
  3. Step 3: Cross multiply
    6,898.70x = 10,348.05 × 3,612.80
  4. Step 4: Simplify right side
    6,898.70x = 37,385,435.04
  5. Step 5: Solve for x
    x = 37,385,435.04/6,898.70
  6. Step 6: Final answer
    x = 5,419.20

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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.