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Finding the Fourth Proportional to 3,498.59, 4,828.05 and 1,905.23

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Solution

The fourth proportional to 3,498.59, 4,828.05 and 1,905.23 is: 2,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.59 : 4,828.05 = 1,905.23 : x
  2. Step 2: Convert to fraction form
    3,498.59/4,828.05 = 1,905.23/x
  3. Step 3: Cross multiply
    3,498.59x = 4,828.05 × 1,905.23
  4. Step 4: Simplify right side
    3,498.59x = 9,198,545.70
  5. Step 5: Solve for x
    x = 9,198,545.70/3,498.59
  6. Step 6: Final answer
    x = 2,629.22

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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.