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Finding the Fourth Proportional to 2,362.71, 3,544.20 and 903.63

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Solution

The fourth proportional to 2,362.71, 3,544.20 and 903.63 is: 1,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.71 : 3,544.20 = 903.63 : x
  2. Step 2: Convert to fraction form
    2,362.71/3,544.20 = 903.63/x
  3. Step 3: Cross multiply
    2,362.71x = 3,544.20 × 903.63
  4. Step 4: Simplify right side
    2,362.71x = 3,202,645.45
  5. Step 5: Solve for x
    x = 3,202,645.45/2,362.71
  6. Step 6: Final answer
    x = 1,355.50

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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.