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Finding the Fourth Proportional to 5,633.63, 7,769.66 and 4,220.66

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Solution

The fourth proportional to 5,633.63, 7,769.66 and 4,220.66 is: 5,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.63 : 7,769.66 = 4,220.66 : x
  2. Step 2: Convert to fraction form
    5,633.63/7,769.66 = 4,220.66/x
  3. Step 3: Cross multiply
    5,633.63x = 7,769.66 × 4,220.66
  4. Step 4: Simplify right side
    5,633.63x = 32,793,123.15
  5. Step 5: Solve for x
    x = 32,793,123.15/5,633.63
  6. Step 6: Final answer
    x = 5,820.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.