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Finding the Fourth Proportional to 6,905.76, 9,530.13 and 3,921.40

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Solution

The fourth proportional to 6,905.76, 9,530.13 and 3,921.40 is: 5,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.76 : 9,530.13 = 3,921.40 : x
  2. Step 2: Convert to fraction form
    6,905.76/9,530.13 = 3,921.40/x
  3. Step 3: Cross multiply
    6,905.76x = 9,530.13 × 3,921.40
  4. Step 4: Simplify right side
    6,905.76x = 37,371,451.78
  5. Step 5: Solve for x
    x = 37,371,451.78/6,905.76
  6. Step 6: Final answer
    x = 5,411.63

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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.