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Finding the Fourth Proportional to 1,903.76, 2,852.48 and 1,209.20

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Solution

The fourth proportional to 1,903.76, 2,852.48 and 1,209.20 is: 1,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.76 : 2,852.48 = 1,209.20 : x
  2. Step 2: Convert to fraction form
    1,903.76/2,852.48 = 1,209.20/x
  3. Step 3: Cross multiply
    1,903.76x = 2,852.48 × 1,209.20
  4. Step 4: Simplify right side
    1,903.76x = 3,449,218.82
  5. Step 5: Solve for x
    x = 3,449,218.82/1,903.76
  6. Step 6: Final answer
    x = 1,811.79

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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.