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Finding the Fourth Proportional to 2,663.13, 4,002.67 and 2,203.86

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Solution

The fourth proportional to 2,663.13, 4,002.67 and 2,203.86 is: 3,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.13 : 4,002.67 = 2,203.86 : x
  2. Step 2: Convert to fraction form
    2,663.13/4,002.67 = 2,203.86/x
  3. Step 3: Cross multiply
    2,663.13x = 4,002.67 × 2,203.86
  4. Step 4: Simplify right side
    2,663.13x = 8,821,307.16
  5. Step 5: Solve for x
    x = 8,821,307.16/2,663.13
  6. Step 6: Final answer
    x = 3,312.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.