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Finding the Fourth Proportional to 1,999.89, 2,999.81 and 903.49

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Solution

The fourth proportional to 1,999.89, 2,999.81 and 903.49 is: 1,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.89 : 2,999.81 = 903.49 : x
  2. Step 2: Convert to fraction form
    1,999.89/2,999.81 = 903.49/x
  3. Step 3: Cross multiply
    1,999.89x = 2,999.81 × 903.49
  4. Step 4: Simplify right side
    1,999.89x = 2,710,293.10
  5. Step 5: Solve for x
    x = 2,710,293.10/1,999.89
  6. Step 6: Final answer
    x = 1,355.22

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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.