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Finding the Fourth Proportional to 4,486.69, 6,730.30 and 1,408.69

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Solution

The fourth proportional to 4,486.69, 6,730.30 and 1,408.69 is: 2,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.69 : 6,730.30 = 1,408.69 : x
  2. Step 2: Convert to fraction form
    4,486.69/6,730.30 = 1,408.69/x
  3. Step 3: Cross multiply
    4,486.69x = 6,730.30 × 1,408.69
  4. Step 4: Simplify right side
    4,486.69x = 9,480,891.24
  5. Step 5: Solve for x
    x = 9,480,891.24/4,486.69
  6. Step 6: Final answer
    x = 2,113.12

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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.