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Finding the Fourth Proportional to 1,900.39, 2,850.04 and 730.31

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Solution

The fourth proportional to 1,900.39, 2,850.04 and 730.31 is: 1,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.39 : 2,850.04 = 730.31 : x
  2. Step 2: Convert to fraction form
    1,900.39/2,850.04 = 730.31/x
  3. Step 3: Cross multiply
    1,900.39x = 2,850.04 × 730.31
  4. Step 4: Simplify right side
    1,900.39x = 2,081,417.46
  5. Step 5: Solve for x
    x = 2,081,417.46/1,900.39
  6. Step 6: Final answer
    x = 1,095.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.