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Finding the Fourth Proportional to 6,930.64, 9,564.51 and 3,946.60

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Solution

The fourth proportional to 6,930.64, 9,564.51 and 3,946.60 is: 5,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.64 : 9,564.51 = 3,946.60 : x
  2. Step 2: Convert to fraction form
    6,930.64/9,564.51 = 3,946.60/x
  3. Step 3: Cross multiply
    6,930.64x = 9,564.51 × 3,946.60
  4. Step 4: Simplify right side
    6,930.64x = 37,747,295.17
  5. Step 5: Solve for x
    x = 37,747,295.17/6,930.64
  6. Step 6: Final answer
    x = 5,446.44

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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.