Home / 2,742.62-3,784.86-1,547.66

Finding the Fourth Proportional to 2,742.62, 3,784.86 and 1,547.66

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Solution

The fourth proportional to 2,742.62, 3,784.86 and 1,547.66 is: 2,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.62 : 3,784.86 = 1,547.66 : x
  2. Step 2: Convert to fraction form
    2,742.62/3,784.86 = 1,547.66/x
  3. Step 3: Cross multiply
    2,742.62x = 3,784.86 × 1,547.66
  4. Step 4: Simplify right side
    2,742.62x = 5,857,676.43
  5. Step 5: Solve for x
    x = 5,857,676.43/2,742.62
  6. Step 6: Final answer
    x = 2,135.80

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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.