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Finding the Fourth Proportional to 6,890.43, 9,509.43 and 3,907.23

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Solution

The fourth proportional to 6,890.43, 9,509.43 and 3,907.23 is: 5,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.43 : 9,509.43 = 3,907.23 : x
  2. Step 2: Convert to fraction form
    6,890.43/9,509.43 = 3,907.23/x
  3. Step 3: Cross multiply
    6,890.43x = 9,509.43 × 3,907.23
  4. Step 4: Simplify right side
    6,890.43x = 37,155,530.18
  5. Step 5: Solve for x
    x = 37,155,530.18/6,890.43
  6. Step 6: Final answer
    x = 5,392.34

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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.