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Finding the Fourth Proportional to 7,703.62, 11,553 and 3,319.90

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Solution

The fourth proportional to 7,703.62, 11,553 and 3,319.90 is: 4,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.62 : 11,553 = 3,319.90 : x
  2. Step 2: Convert to fraction form
    7,703.62/11,553 = 3,319.90/x
  3. Step 3: Cross multiply
    7,703.62x = 11,553 × 3,319.90
  4. Step 4: Simplify right side
    7,703.62x = 38,354,804.70
  5. Step 5: Solve for x
    x = 38,354,804.70/7,703.62
  6. Step 6: Final answer
    x = 4,978.80

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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.