Home / 1,456.83-2,186.19-840.15

Finding the Fourth Proportional to 1,456.83, 2,186.19 and 840.15

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Solution

The fourth proportional to 1,456.83, 2,186.19 and 840.15 is: 1,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.83 : 2,186.19 = 840.15 : x
  2. Step 2: Convert to fraction form
    1,456.83/2,186.19 = 840.15/x
  3. Step 3: Cross multiply
    1,456.83x = 2,186.19 × 840.15
  4. Step 4: Simplify right side
    1,456.83x = 1,836,727.53
  5. Step 5: Solve for x
    x = 1,836,727.53/1,456.83
  6. Step 6: Final answer
    x = 1,260.77

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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.