Home / 1,243.35-1,862.37-947.58

Finding the Fourth Proportional to 1,243.35, 1,862.37 and 947.58

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Solution

The fourth proportional to 1,243.35, 1,862.37 and 947.58 is: 1,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.35 : 1,862.37 = 947.58 : x
  2. Step 2: Convert to fraction form
    1,243.35/1,862.37 = 947.58/x
  3. Step 3: Cross multiply
    1,243.35x = 1,862.37 × 947.58
  4. Step 4: Simplify right side
    1,243.35x = 1,764,744.56
  5. Step 5: Solve for x
    x = 1,764,744.56/1,243.35
  6. Step 6: Final answer
    x = 1,419.35

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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.