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Finding the Fourth Proportional to 2,547.47, 3,821.43 and 792.48

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Solution

The fourth proportional to 2,547.47, 3,821.43 and 792.48 is: 1,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.47 : 3,821.43 = 792.48 : x
  2. Step 2: Convert to fraction form
    2,547.47/3,821.43 = 792.48/x
  3. Step 3: Cross multiply
    2,547.47x = 3,821.43 × 792.48
  4. Step 4: Simplify right side
    2,547.47x = 3,028,406.85
  5. Step 5: Solve for x
    x = 3,028,406.85/2,547.47
  6. Step 6: Final answer
    x = 1,188.79

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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.