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Finding the Fourth Proportional to 5,417.74, 8,127.74 and 3,078.84

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Solution

The fourth proportional to 5,417.74, 8,127.74 and 3,078.84 is: 4,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.74 : 8,127.74 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    5,417.74/8,127.74 = 3,078.84/x
  3. Step 3: Cross multiply
    5,417.74x = 8,127.74 × 3,078.84
  4. Step 4: Simplify right side
    5,417.74x = 25,023,980.62
  5. Step 5: Solve for x
    x = 25,023,980.62/5,417.74
  6. Step 6: Final answer
    x = 4,618.90

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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.