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Finding the Fourth Proportional to 6,639.78, 9,955.05 and 4,766.82

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Solution

The fourth proportional to 6,639.78, 9,955.05 and 4,766.82 is: 7,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.78 : 9,955.05 = 4,766.82 : x
  2. Step 2: Convert to fraction form
    6,639.78/9,955.05 = 4,766.82/x
  3. Step 3: Cross multiply
    6,639.78x = 9,955.05 × 4,766.82
  4. Step 4: Simplify right side
    6,639.78x = 47,453,931.44
  5. Step 5: Solve for x
    x = 47,453,931.44/6,639.78
  6. Step 6: Final answer
    x = 7,146.91

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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.