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Finding the Fourth Proportional to 5,078.61, 7,619.13 and 1,791.77

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Solution

The fourth proportional to 5,078.61, 7,619.13 and 1,791.77 is: 2,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.61 : 7,619.13 = 1,791.77 : x
  2. Step 2: Convert to fraction form
    5,078.61/7,619.13 = 1,791.77/x
  3. Step 3: Cross multiply
    5,078.61x = 7,619.13 × 1,791.77
  4. Step 4: Simplify right side
    5,078.61x = 13,651,690.46
  5. Step 5: Solve for x
    x = 13,651,690.46/5,078.61
  6. Step 6: Final answer
    x = 2,688.08

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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.