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Finding the Fourth Proportional to 6,809.76, 9,395.82 and 4,156.20

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Solution

The fourth proportional to 6,809.76, 9,395.82 and 4,156.20 is: 5,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.76 : 9,395.82 = 4,156.20 : x
  2. Step 2: Convert to fraction form
    6,809.76/9,395.82 = 4,156.20/x
  3. Step 3: Cross multiply
    6,809.76x = 9,395.82 × 4,156.20
  4. Step 4: Simplify right side
    6,809.76x = 39,050,907.08
  5. Step 5: Solve for x
    x = 39,050,907.08/6,809.76
  6. Step 6: Final answer
    x = 5,734.55

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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.