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Finding the Fourth Proportional to 6,782, 9,355.38 and 4,657.64

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Solution

The fourth proportional to 6,782, 9,355.38 and 4,657.64 is: 6,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 9,355.38 = 4,657.64 : x
  2. Step 2: Convert to fraction form
    6,782/9,355.38 = 4,657.64/x
  3. Step 3: Cross multiply
    6,782x = 9,355.38 × 4,657.64
  4. Step 4: Simplify right side
    6,782x = 43,573,992.10
  5. Step 5: Solve for x
    x = 43,573,992.10/6,782
  6. Step 6: Final answer
    x = 6,424.95

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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.