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Finding the Fourth Proportional to 7,381.76, 11,077.52 and 3,486.48

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Solution

The fourth proportional to 7,381.76, 11,077.52 and 3,486.48 is: 5,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.76 : 11,077.52 = 3,486.48 : x
  2. Step 2: Convert to fraction form
    7,381.76/11,077.52 = 3,486.48/x
  3. Step 3: Cross multiply
    7,381.76x = 11,077.52 × 3,486.48
  4. Step 4: Simplify right side
    7,381.76x = 38,621,551.93
  5. Step 5: Solve for x
    x = 38,621,551.93/7,381.76
  6. Step 6: Final answer
    x = 5,232.02

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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.