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Finding the Fourth Proportional to 6,930.70, 9,564.59 and 3,787.09

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Solution

The fourth proportional to 6,930.70, 9,564.59 and 3,787.09 is: 5,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.70 : 9,564.59 = 3,787.09 : x
  2. Step 2: Convert to fraction form
    6,930.70/9,564.59 = 3,787.09/x
  3. Step 3: Cross multiply
    6,930.70x = 9,564.59 × 3,787.09
  4. Step 4: Simplify right side
    6,930.70x = 36,221,963.14
  5. Step 5: Solve for x
    x = 36,221,963.14/6,930.70
  6. Step 6: Final answer
    x = 5,226.31

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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.