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Finding the Fourth Proportional to 7,365, 11,047.50 and 2,170.74

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Solution

The fourth proportional to 7,365, 11,047.50 and 2,170.74 is: 3,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365 : 11,047.50 = 2,170.74 : x
  2. Step 2: Convert to fraction form
    7,365/11,047.50 = 2,170.74/x
  3. Step 3: Cross multiply
    7,365x = 11,047.50 × 2,170.74
  4. Step 4: Simplify right side
    7,365x = 23,981,250.15
  5. Step 5: Solve for x
    x = 23,981,250.15/7,365
  6. Step 6: Final answer
    x = 3,256.11

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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.