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Finding the Fourth Proportional to 9,146, 13,719.60 and 3,598.88

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Solution

The fourth proportional to 9,146, 13,719.60 and 3,598.88 is: 5,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 13,719.60 = 3,598.88 : x
  2. Step 2: Convert to fraction form
    9,146/13,719.60 = 3,598.88/x
  3. Step 3: Cross multiply
    9,146x = 13,719.60 × 3,598.88
  4. Step 4: Simplify right side
    9,146x = 49,375,194.05
  5. Step 5: Solve for x
    x = 49,375,194.05/9,146
  6. Step 6: Final answer
    x = 5,398.56

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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.