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Finding the Fourth Proportional to 2,000.27, 2,999.19 and 903.13

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Solution

The fourth proportional to 2,000.27, 2,999.19 and 903.13 is: 1,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.27 : 2,999.19 = 903.13 : x
  2. Step 2: Convert to fraction form
    2,000.27/2,999.19 = 903.13/x
  3. Step 3: Cross multiply
    2,000.27x = 2,999.19 × 903.13
  4. Step 4: Simplify right side
    2,000.27x = 2,708,658.46
  5. Step 5: Solve for x
    x = 2,708,658.46/2,000.27
  6. Step 6: Final answer
    x = 1,354.15

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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.