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Finding the Fourth Proportional to 3,775.59, 5,665.42 and 2,218.63

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Solution

The fourth proportional to 3,775.59, 5,665.42 and 2,218.63 is: 3,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.59 : 5,665.42 = 2,218.63 : x
  2. Step 2: Convert to fraction form
    3,775.59/5,665.42 = 2,218.63/x
  3. Step 3: Cross multiply
    3,775.59x = 5,665.42 × 2,218.63
  4. Step 4: Simplify right side
    3,775.59x = 12,569,459.68
  5. Step 5: Solve for x
    x = 12,569,459.68/3,775.59
  6. Step 6: Final answer
    x = 3,329.14

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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.