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Finding the Fourth Proportional to 7,317.70, 10,978.60 and 2,938.23

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Solution

The fourth proportional to 7,317.70, 10,978.60 and 2,938.23 is: 4,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.70 : 10,978.60 = 2,938.23 : x
  2. Step 2: Convert to fraction form
    7,317.70/10,978.60 = 2,938.23/x
  3. Step 3: Cross multiply
    7,317.70x = 10,978.60 × 2,938.23
  4. Step 4: Simplify right side
    7,317.70x = 32,257,650.04
  5. Step 5: Solve for x
    x = 32,257,650.04/7,317.70
  6. Step 6: Final answer
    x = 4,408.17

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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.