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Finding the Fourth Proportional to 4,357, 6,538.38 and 2,048.68

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Solution

The fourth proportional to 4,357, 6,538.38 and 2,048.68 is: 3,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357 : 6,538.38 = 2,048.68 : x
  2. Step 2: Convert to fraction form
    4,357/6,538.38 = 2,048.68/x
  3. Step 3: Cross multiply
    4,357x = 6,538.38 × 2,048.68
  4. Step 4: Simplify right side
    4,357x = 13,395,048.34
  5. Step 5: Solve for x
    x = 13,395,048.34/4,357
  6. Step 6: Final answer
    x = 3,074.37

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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.