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Finding the Fourth Proportional to 2,002.60, 3,003.54 and 703.90

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Solution

The fourth proportional to 2,002.60, 3,003.54 and 703.90 is: 1,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.60 : 3,003.54 = 703.90 : x
  2. Step 2: Convert to fraction form
    2,002.60/3,003.54 = 703.90/x
  3. Step 3: Cross multiply
    2,002.60x = 3,003.54 × 703.90
  4. Step 4: Simplify right side
    2,002.60x = 2,114,191.81
  5. Step 5: Solve for x
    x = 2,114,191.81/2,002.60
  6. Step 6: Final answer
    x = 1,055.72

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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.