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Finding the Fourth Proportional to 2,547.54, 3,819.87 and 815.22

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Solution

The fourth proportional to 2,547.54, 3,819.87 and 815.22 is: 1,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.54 : 3,819.87 = 815.22 : x
  2. Step 2: Convert to fraction form
    2,547.54/3,819.87 = 815.22/x
  3. Step 3: Cross multiply
    2,547.54x = 3,819.87 × 815.22
  4. Step 4: Simplify right side
    2,547.54x = 3,114,034.42
  5. Step 5: Solve for x
    x = 3,114,034.42/2,547.54
  6. Step 6: Final answer
    x = 1,222.37

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1.5x scale

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.