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Finding the Fourth Proportional to 6,815.46, 9,405.78 and 5,133.90

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Solution

The fourth proportional to 6,815.46, 9,405.78 and 5,133.90 is: 7,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.46 : 9,405.78 = 5,133.90 : x
  2. Step 2: Convert to fraction form
    6,815.46/9,405.78 = 5,133.90/x
  3. Step 3: Cross multiply
    6,815.46x = 9,405.78 × 5,133.90
  4. Step 4: Simplify right side
    6,815.46x = 48,288,333.94
  5. Step 5: Solve for x
    x = 48,288,333.94/6,815.46
  6. Step 6: Final answer
    x = 7,085.12

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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.