Home / 2,409.37-3,614.05-947.72

Finding the Fourth Proportional to 2,409.37, 3,614.05 and 947.72

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Solution

The fourth proportional to 2,409.37, 3,614.05 and 947.72 is: 1,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.37 : 3,614.05 = 947.72 : x
  2. Step 2: Convert to fraction form
    2,409.37/3,614.05 = 947.72/x
  3. Step 3: Cross multiply
    2,409.37x = 3,614.05 × 947.72
  4. Step 4: Simplify right side
    2,409.37x = 3,425,107.47
  5. Step 5: Solve for x
    x = 3,425,107.47/2,409.37
  6. Step 6: Final answer
    x = 1,421.58

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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.