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Finding the Fourth Proportional to 6,113.50, 8,434.02 and 4,694.74

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Solution

The fourth proportional to 6,113.50, 8,434.02 and 4,694.74 is: 6,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.50 : 8,434.02 = 4,694.74 : x
  2. Step 2: Convert to fraction form
    6,113.50/8,434.02 = 4,694.74/x
  3. Step 3: Cross multiply
    6,113.50x = 8,434.02 × 4,694.74
  4. Step 4: Simplify right side
    6,113.50x = 39,595,531.05
  5. Step 5: Solve for x
    x = 39,595,531.05/6,113.50
  6. Step 6: Final answer
    x = 6,476.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.