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Finding the Fourth Proportional to 3,339.35, 4,607.48 and 2,159

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Solution

The fourth proportional to 3,339.35, 4,607.48 and 2,159 is: 2,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.35 : 4,607.48 = 2,159 : x
  2. Step 2: Convert to fraction form
    3,339.35/4,607.48 = 2,159/x
  3. Step 3: Cross multiply
    3,339.35x = 4,607.48 × 2,159
  4. Step 4: Simplify right side
    3,339.35x = 9,947,538.53
  5. Step 5: Solve for x
    x = 9,947,538.53/3,339.35
  6. Step 6: Final answer
    x = 2,978.88

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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.