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Finding the Fourth Proportional to 4,394.64, 6,591.32 and 1,658

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Solution

The fourth proportional to 4,394.64, 6,591.32 and 1,658 is: 2,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.64 : 6,591.32 = 1,658 : x
  2. Step 2: Convert to fraction form
    4,394.64/6,591.32 = 1,658/x
  3. Step 3: Cross multiply
    4,394.64x = 6,591.32 × 1,658
  4. Step 4: Simplify right side
    4,394.64x = 10,928,408.56
  5. Step 5: Solve for x
    x = 10,928,408.56/4,394.64
  6. Step 6: Final answer
    x = 2,486.76

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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.