Home / 1,214.57-1,677.17-952.13

Finding the Fourth Proportional to 1,214.57, 1,677.17 and 952.13

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Solution

The fourth proportional to 1,214.57, 1,677.17 and 952.13 is: 1,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.57 : 1,677.17 = 952.13 : x
  2. Step 2: Convert to fraction form
    1,214.57/1,677.17 = 952.13/x
  3. Step 3: Cross multiply
    1,214.57x = 1,677.17 × 952.13
  4. Step 4: Simplify right side
    1,214.57x = 1,596,879.11
  5. Step 5: Solve for x
    x = 1,596,879.11/1,214.57
  6. Step 6: Final answer
    x = 1,314.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.