Home / 1,496.14-2,242.35-947.09

Finding the Fourth Proportional to 1,496.14, 2,242.35 and 947.09

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Solution

The fourth proportional to 1,496.14, 2,242.35 and 947.09 is: 1,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.14 : 2,242.35 = 947.09 : x
  2. Step 2: Convert to fraction form
    1,496.14/2,242.35 = 947.09/x
  3. Step 3: Cross multiply
    1,496.14x = 2,242.35 × 947.09
  4. Step 4: Simplify right side
    1,496.14x = 2,123,712.87
  5. Step 5: Solve for x
    x = 2,123,712.87/1,496.14
  6. Step 6: Final answer
    x = 1,419.46

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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.