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Finding the Fourth Proportional to 3,530.70, 4,869.15 and 2,940.30

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Solution

The fourth proportional to 3,530.70, 4,869.15 and 2,940.30 is: 4,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.70 : 4,869.15 = 2,940.30 : x
  2. Step 2: Convert to fraction form
    3,530.70/4,869.15 = 2,940.30/x
  3. Step 3: Cross multiply
    3,530.70x = 4,869.15 × 2,940.30
  4. Step 4: Simplify right side
    3,530.70x = 14,316,761.75
  5. Step 5: Solve for x
    x = 14,316,761.75/3,530.70
  6. Step 6: Final answer
    x = 4,054.94

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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.