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Finding the Fourth Proportional to 6,809.70, 10,214.55 and 4,476.90

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Solution

The fourth proportional to 6,809.70, 10,214.55 and 4,476.90 is: 6,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.70 : 10,214.55 = 4,476.90 : x
  2. Step 2: Convert to fraction form
    6,809.70/10,214.55 = 4,476.90/x
  3. Step 3: Cross multiply
    6,809.70x = 10,214.55 × 4,476.90
  4. Step 4: Simplify right side
    6,809.70x = 45,729,518.90
  5. Step 5: Solve for x
    x = 45,729,518.90/6,809.70
  6. Step 6: Final answer
    x = 6,715.35

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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.