Home / 2,547.09-3,818.21-814.53

Finding the Fourth Proportional to 2,547.09, 3,818.21 and 814.53

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Solution

The fourth proportional to 2,547.09, 3,818.21 and 814.53 is: 1,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.09 : 3,818.21 = 814.53 : x
  2. Step 2: Convert to fraction form
    2,547.09/3,818.21 = 814.53/x
  3. Step 3: Cross multiply
    2,547.09x = 3,818.21 × 814.53
  4. Step 4: Simplify right side
    2,547.09x = 3,110,042.52
  5. Step 5: Solve for x
    x = 3,110,042.52/2,547.09
  6. Step 6: Final answer
    x = 1,221.02

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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.