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Finding the Fourth Proportional to 1,247.63, 1,869.80 and 902.12

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Solution

The fourth proportional to 1,247.63, 1,869.80 and 902.12 is: 1,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.63 : 1,869.80 = 902.12 : x
  2. Step 2: Convert to fraction form
    1,247.63/1,869.80 = 902.12/x
  3. Step 3: Cross multiply
    1,247.63x = 1,869.80 × 902.12
  4. Step 4: Simplify right side
    1,247.63x = 1,686,770.12
  5. Step 5: Solve for x
    x = 1,686,770.12/1,247.63
  6. Step 6: Final answer
    x = 1,351.98

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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.