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Finding the Fourth Proportional to 6,127.04, 9,181.92 and 3,051.20

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Solution

The fourth proportional to 6,127.04, 9,181.92 and 3,051.20 is: 4,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.04 : 9,181.92 = 3,051.20 : x
  2. Step 2: Convert to fraction form
    6,127.04/9,181.92 = 3,051.20/x
  3. Step 3: Cross multiply
    6,127.04x = 9,181.92 × 3,051.20
  4. Step 4: Simplify right side
    6,127.04x = 28,015,874.30
  5. Step 5: Solve for x
    x = 28,015,874.30/6,127.04
  6. Step 6: Final answer
    x = 4,572.50

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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.