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Finding the Fourth Proportional to 6,646.76, 9,964.38 and 3,905

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Solution

The fourth proportional to 6,646.76, 9,964.38 and 3,905 is: 5,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.76 : 9,964.38 = 3,905 : x
  2. Step 2: Convert to fraction form
    6,646.76/9,964.38 = 3,905/x
  3. Step 3: Cross multiply
    6,646.76x = 9,964.38 × 3,905
  4. Step 4: Simplify right side
    6,646.76x = 38,910,903.90
  5. Step 5: Solve for x
    x = 38,910,903.90/6,646.76
  6. Step 6: Final answer
    x = 5,854.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.