Home / 1,677.36-2,513.62-945.38

Finding the Fourth Proportional to 1,677.36, 2,513.62 and 945.38

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Solution

The fourth proportional to 1,677.36, 2,513.62 and 945.38 is: 1,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.36 : 2,513.62 = 945.38 : x
  2. Step 2: Convert to fraction form
    1,677.36/2,513.62 = 945.38/x
  3. Step 3: Cross multiply
    1,677.36x = 2,513.62 × 945.38
  4. Step 4: Simplify right side
    1,677.36x = 2,376,326.08
  5. Step 5: Solve for x
    x = 2,376,326.08/1,677.36
  6. Step 6: Final answer
    x = 1,416.71

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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.