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Finding the Fourth Proportional to 4,917.97, 6,780.16 and 4,765.09

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Solution

The fourth proportional to 4,917.97, 6,780.16 and 4,765.09 is: 6,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.97 : 6,780.16 = 4,765.09 : x
  2. Step 2: Convert to fraction form
    4,917.97/6,780.16 = 4,765.09/x
  3. Step 3: Cross multiply
    4,917.97x = 6,780.16 × 4,765.09
  4. Step 4: Simplify right side
    4,917.97x = 32,308,072.61
  5. Step 5: Solve for x
    x = 32,308,072.61/4,917.97
  6. Step 6: Final answer
    x = 6,569.39

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1.5x scale

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.