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Finding the Fourth Proportional to 7,894.65, 10,907.96 and 6,109.41

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Solution

The fourth proportional to 7,894.65, 10,907.96 and 6,109.41 is: 8,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.65 : 10,907.96 = 6,109.41 : x
  2. Step 2: Convert to fraction form
    7,894.65/10,907.96 = 6,109.41/x
  3. Step 3: Cross multiply
    7,894.65x = 10,907.96 × 6,109.41
  4. Step 4: Simplify right side
    7,894.65x = 66,641,215.18
  5. Step 5: Solve for x
    x = 66,641,215.18/7,894.65
  6. Step 6: Final answer
    x = 8,441.31

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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.