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Finding the Fourth Proportional to 3,775.40, 5,663.10 and 3,289.40

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Solution

The fourth proportional to 3,775.40, 5,663.10 and 3,289.40 is: 4,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.40 : 5,663.10 = 3,289.40 : x
  2. Step 2: Convert to fraction form
    3,775.40/5,663.10 = 3,289.40/x
  3. Step 3: Cross multiply
    3,775.40x = 5,663.10 × 3,289.40
  4. Step 4: Simplify right side
    3,775.40x = 18,628,201.14
  5. Step 5: Solve for x
    x = 18,628,201.14/3,775.40
  6. Step 6: Final answer
    x = 4,934.10

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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.