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Finding the Fourth Proportional to 1,209.37, 1,811.93 and 862.18

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Solution

The fourth proportional to 1,209.37, 1,811.93 and 862.18 is: 1,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.37 : 1,811.93 = 862.18 : x
  2. Step 2: Convert to fraction form
    1,209.37/1,811.93 = 862.18/x
  3. Step 3: Cross multiply
    1,209.37x = 1,811.93 × 862.18
  4. Step 4: Simplify right side
    1,209.37x = 1,562,207.76
  5. Step 5: Solve for x
    x = 1,562,207.76/1,209.37
  6. Step 6: Final answer
    x = 1,291.76

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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.