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Finding the Fourth Proportional to 6,911.64, 9,541.56 and 4,079.87

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Solution

The fourth proportional to 6,911.64, 9,541.56 and 4,079.87 is: 5,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.64 : 9,541.56 = 4,079.87 : x
  2. Step 2: Convert to fraction form
    6,911.64/9,541.56 = 4,079.87/x
  3. Step 3: Cross multiply
    6,911.64x = 9,541.56 × 4,079.87
  4. Step 4: Simplify right side
    6,911.64x = 38,928,276.69
  5. Step 5: Solve for x
    x = 38,928,276.69/6,911.64
  6. Step 6: Final answer
    x = 5,632.28

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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.