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Finding the Fourth Proportional to 2,003.04, 3,004.56 and 686.64

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Solution

The fourth proportional to 2,003.04, 3,004.56 and 686.64 is: 1,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.04 : 3,004.56 = 686.64 : x
  2. Step 2: Convert to fraction form
    2,003.04/3,004.56 = 686.64/x
  3. Step 3: Cross multiply
    2,003.04x = 3,004.56 × 686.64
  4. Step 4: Simplify right side
    2,003.04x = 2,063,051.08
  5. Step 5: Solve for x
    x = 2,063,051.08/2,003.04
  6. Step 6: Final answer
    x = 1,029.96

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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.