Home / 1,542.18-2,314.08-811.83

Finding the Fourth Proportional to 1,542.18, 2,314.08 and 811.83

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Solution

The fourth proportional to 1,542.18, 2,314.08 and 811.83 is: 1,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.18 : 2,314.08 = 811.83 : x
  2. Step 2: Convert to fraction form
    1,542.18/2,314.08 = 811.83/x
  3. Step 3: Cross multiply
    1,542.18x = 2,314.08 × 811.83
  4. Step 4: Simplify right side
    1,542.18x = 1,878,639.57
  5. Step 5: Solve for x
    x = 1,878,639.57/1,542.18
  6. Step 6: Final answer
    x = 1,218.17

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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.