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Finding the Fourth Proportional to 6,809.78, 10,220.10 and 4,633.70

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Solution

The fourth proportional to 6,809.78, 10,220.10 and 4,633.70 is: 6,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.78 : 10,220.10 = 4,633.70 : x
  2. Step 2: Convert to fraction form
    6,809.78/10,220.10 = 4,633.70/x
  3. Step 3: Cross multiply
    6,809.78x = 10,220.10 × 4,633.70
  4. Step 4: Simplify right side
    6,809.78x = 47,356,877.37
  5. Step 5: Solve for x
    x = 47,356,877.37/6,809.78
  6. Step 6: Final answer
    x = 6,954.24

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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.