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Finding the Fourth Proportional to 6,885.64, 9,500.70 and 3,901.24

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Solution

The fourth proportional to 6,885.64, 9,500.70 and 3,901.24 is: 5,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.64 : 9,500.70 = 3,901.24 : x
  2. Step 2: Convert to fraction form
    6,885.64/9,500.70 = 3,901.24/x
  3. Step 3: Cross multiply
    6,885.64x = 9,500.70 × 3,901.24
  4. Step 4: Simplify right side
    6,885.64x = 37,064,510.87
  5. Step 5: Solve for x
    x = 37,064,510.87/6,885.64
  6. Step 6: Final answer
    x = 5,382.87

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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.