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Finding the Fourth Proportional to 6,891.60, 9,509.78 and 3,907.70

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Solution

The fourth proportional to 6,891.60, 9,509.78 and 3,907.70 is: 5,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.60 : 9,509.78 = 3,907.70 : x
  2. Step 2: Convert to fraction form
    6,891.60/9,509.78 = 3,907.70/x
  3. Step 3: Cross multiply
    6,891.60x = 9,509.78 × 3,907.70
  4. Step 4: Simplify right side
    6,891.60x = 37,161,367.31
  5. Step 5: Solve for x
    x = 37,161,367.31/6,891.60
  6. Step 6: Final answer
    x = 5,392.27

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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.