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Finding the Fourth Proportional to 2,003.50, 3,004.80 and 616.07

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Solution

The fourth proportional to 2,003.50, 3,004.80 and 616.07 is: 923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.50 : 3,004.80 = 616.07 : x
  2. Step 2: Convert to fraction form
    2,003.50/3,004.80 = 616.07/x
  3. Step 3: Cross multiply
    2,003.50x = 3,004.80 × 616.07
  4. Step 4: Simplify right side
    2,003.50x = 1,851,172.34
  5. Step 5: Solve for x
    x = 1,851,172.34/2,003.50
  6. Step 6: Final answer
    x = 923.97

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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.