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Finding the Fourth Proportional to 2,364.78, 3,547.14 and 825.78

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Solution

The fourth proportional to 2,364.78, 3,547.14 and 825.78 is: 1,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.78 : 3,547.14 = 825.78 : x
  2. Step 2: Convert to fraction form
    2,364.78/3,547.14 = 825.78/x
  3. Step 3: Cross multiply
    2,364.78x = 3,547.14 × 825.78
  4. Step 4: Simplify right side
    2,364.78x = 2,929,157.27
  5. Step 5: Solve for x
    x = 2,929,157.27/2,364.78
  6. Step 6: Final answer
    x = 1,238.66

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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.