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Finding the Fourth Proportional to 7,146, 9,861.48 and 4,003.20

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Solution

The fourth proportional to 7,146, 9,861.48 and 4,003.20 is: 5,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 9,861.48 = 4,003.20 : x
  2. Step 2: Convert to fraction form
    7,146/9,861.48 = 4,003.20/x
  3. Step 3: Cross multiply
    7,146x = 9,861.48 × 4,003.20
  4. Step 4: Simplify right side
    7,146x = 39,477,476.74
  5. Step 5: Solve for x
    x = 39,477,476.74/7,146
  6. Step 6: Final answer
    x = 5,524.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.