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Finding the Fourth Proportional to 5,641.85, 7,769.62 and 4,838.84

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Solution

The fourth proportional to 5,641.85, 7,769.62 and 4,838.84 is: 6,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.85 : 7,769.62 = 4,838.84 : x
  2. Step 2: Convert to fraction form
    5,641.85/7,769.62 = 4,838.84/x
  3. Step 3: Cross multiply
    5,641.85x = 7,769.62 × 4,838.84
  4. Step 4: Simplify right side
    5,641.85x = 37,595,944.38
  5. Step 5: Solve for x
    x = 37,595,944.38/5,641.85
  6. Step 6: Final answer
    x = 6,663.76

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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.