Home / 2,780-3,836.51-1,585.18

Finding the Fourth Proportional to 2,780, 3,836.51 and 1,585.18

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Solution

The fourth proportional to 2,780, 3,836.51 and 1,585.18 is: 2,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 3,836.51 = 1,585.18 : x
  2. Step 2: Convert to fraction form
    2,780/3,836.51 = 1,585.18/x
  3. Step 3: Cross multiply
    2,780x = 3,836.51 × 1,585.18
  4. Step 4: Simplify right side
    2,780x = 6,081,531.81
  5. Step 5: Solve for x
    x = 6,081,531.81/2,780
  6. Step 6: Final answer
    x = 2,187.60

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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.