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Finding the Fourth Proportional to 6,905.17, 9,528.16 and 3,920.60

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Solution

The fourth proportional to 6,905.17, 9,528.16 and 3,920.60 is: 5,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.17 : 9,528.16 = 3,920.60 : x
  2. Step 2: Convert to fraction form
    6,905.17/9,528.16 = 3,920.60/x
  3. Step 3: Cross multiply
    6,905.17x = 9,528.16 × 3,920.60
  4. Step 4: Simplify right side
    6,905.17x = 37,356,114.44
  5. Step 5: Solve for x
    x = 37,356,114.44/6,905.17
  6. Step 6: Final answer
    x = 5,409.87

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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.