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Finding the Fourth Proportional to 6,838.53, 9,437.21 and 4,321.76

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Solution

The fourth proportional to 6,838.53, 9,437.21 and 4,321.76 is: 5,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.53 : 9,437.21 = 4,321.76 : x
  2. Step 2: Convert to fraction form
    6,838.53/9,437.21 = 4,321.76/x
  3. Step 3: Cross multiply
    6,838.53x = 9,437.21 × 4,321.76
  4. Step 4: Simplify right side
    6,838.53x = 40,785,304.10
  5. Step 5: Solve for x
    x = 40,785,304.10/6,838.53
  6. Step 6: Final answer
    x = 5,964.05

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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.