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Finding the Fourth Proportional to 2,615.78, 3,916.80 and 2,464.07

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Solution

The fourth proportional to 2,615.78, 3,916.80 and 2,464.07 is: 3,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.78 : 3,916.80 = 2,464.07 : x
  2. Step 2: Convert to fraction form
    2,615.78/3,916.80 = 2,464.07/x
  3. Step 3: Cross multiply
    2,615.78x = 3,916.80 × 2,464.07
  4. Step 4: Simplify right side
    2,615.78x = 9,651,249.79
  5. Step 5: Solve for x
    x = 9,651,249.79/2,615.78
  6. Step 6: Final answer
    x = 3,689.63

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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.