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Finding the Fourth Proportional to 7,800.86, 11,693.91 and 2,603

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Solution

The fourth proportional to 7,800.86, 11,693.91 and 2,603 is: 3,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.86 : 11,693.91 = 2,603 : x
  2. Step 2: Convert to fraction form
    7,800.86/11,693.91 = 2,603/x
  3. Step 3: Cross multiply
    7,800.86x = 11,693.91 × 2,603
  4. Step 4: Simplify right side
    7,800.86x = 30,439,247.73
  5. Step 5: Solve for x
    x = 30,439,247.73/7,800.86
  6. Step 6: Final answer
    x = 3,902.04

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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.