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Finding the Fourth Proportional to 2,003.57, 3,005.75 and 616.67

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Solution

The fourth proportional to 2,003.57, 3,005.75 and 616.67 is: 925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.57 : 3,005.75 = 616.67 : x
  2. Step 2: Convert to fraction form
    2,003.57/3,005.75 = 616.67/x
  3. Step 3: Cross multiply
    2,003.57x = 3,005.75 × 616.67
  4. Step 4: Simplify right side
    2,003.57x = 1,853,564.91
  5. Step 5: Solve for x
    x = 1,853,564.91/2,003.57
  6. Step 6: Final answer
    x = 925.13

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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.