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Finding the Fourth Proportional to 6,151.40, 8,489.13 and 3,498.74

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Solution

The fourth proportional to 6,151.40, 8,489.13 and 3,498.74 is: 4,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.40 : 8,489.13 = 3,498.74 : x
  2. Step 2: Convert to fraction form
    6,151.40/8,489.13 = 3,498.74/x
  3. Step 3: Cross multiply
    6,151.40x = 8,489.13 × 3,498.74
  4. Step 4: Simplify right side
    6,151.40x = 29,701,258.70
  5. Step 5: Solve for x
    x = 29,701,258.70/6,151.40
  6. Step 6: Final answer
    x = 4,828.37

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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.