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Finding the Fourth Proportional to 6,655, 9,184.54 and 3,711

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Solution

The fourth proportional to 6,655, 9,184.54 and 3,711 is: 5,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655 : 9,184.54 = 3,711 : x
  2. Step 2: Convert to fraction form
    6,655/9,184.54 = 3,711/x
  3. Step 3: Cross multiply
    6,655x = 9,184.54 × 3,711
  4. Step 4: Simplify right side
    6,655x = 34,083,827.94
  5. Step 5: Solve for x
    x = 34,083,827.94/6,655
  6. Step 6: Final answer
    x = 5,121.54

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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.