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Finding the Fourth Proportional to 4,596, 6,342.48 and 2,500.14

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Solution

The fourth proportional to 4,596, 6,342.48 and 2,500.14 is: 3,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 6,342.48 = 2,500.14 : x
  2. Step 2: Convert to fraction form
    4,596/6,342.48 = 2,500.14/x
  3. Step 3: Cross multiply
    4,596x = 6,342.48 × 2,500.14
  4. Step 4: Simplify right side
    4,596x = 15,857,087.95
  5. Step 5: Solve for x
    x = 15,857,087.95/4,596
  6. Step 6: Final answer
    x = 3,450.19

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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.