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Finding the Fourth Proportional to 5,860.07, 8,078.47 and 4,178.55

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Solution

The fourth proportional to 5,860.07, 8,078.47 and 4,178.55 is: 5,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.07 : 8,078.47 = 4,178.55 : x
  2. Step 2: Convert to fraction form
    5,860.07/8,078.47 = 4,178.55/x
  3. Step 3: Cross multiply
    5,860.07x = 8,078.47 × 4,178.55
  4. Step 4: Simplify right side
    5,860.07x = 33,756,310.67
  5. Step 5: Solve for x
    x = 33,756,310.67/5,860.07
  6. Step 6: Final answer
    x = 5,760.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.