Home / 1,313.68-1,970.97-947.38

Finding the Fourth Proportional to 1,313.68, 1,970.97 and 947.38

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Solution

The fourth proportional to 1,313.68, 1,970.97 and 947.38 is: 1,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.68 : 1,970.97 = 947.38 : x
  2. Step 2: Convert to fraction form
    1,313.68/1,970.97 = 947.38/x
  3. Step 3: Cross multiply
    1,313.68x = 1,970.97 × 947.38
  4. Step 4: Simplify right side
    1,313.68x = 1,867,257.56
  5. Step 5: Solve for x
    x = 1,867,257.56/1,313.68
  6. Step 6: Final answer
    x = 1,421.39

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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.