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Finding the Fourth Proportional to 7,297.96, 10,948.50 and 3,347.32

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Solution

The fourth proportional to 7,297.96, 10,948.50 and 3,347.32 is: 5,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.96 : 10,948.50 = 3,347.32 : x
  2. Step 2: Convert to fraction form
    7,297.96/10,948.50 = 3,347.32/x
  3. Step 3: Cross multiply
    7,297.96x = 10,948.50 × 3,347.32
  4. Step 4: Simplify right side
    7,297.96x = 36,648,133.02
  5. Step 5: Solve for x
    x = 36,648,133.02/7,297.96
  6. Step 6: Final answer
    x = 5,021.70

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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.