Home / 1,530.38-2,297.82-943.70

Finding the Fourth Proportional to 1,530.38, 2,297.82 and 943.70

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Solution

The fourth proportional to 1,530.38, 2,297.82 and 943.70 is: 1,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.38 : 2,297.82 = 943.70 : x
  2. Step 2: Convert to fraction form
    1,530.38/2,297.82 = 943.70/x
  3. Step 3: Cross multiply
    1,530.38x = 2,297.82 × 943.70
  4. Step 4: Simplify right side
    1,530.38x = 2,168,441.24
  5. Step 5: Solve for x
    x = 2,168,441.24/1,530.38
  6. Step 6: Final answer
    x = 1,416.93

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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.