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Finding the Fourth Proportional to 4,656.40, 6,978.66 and 2,185.77

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Solution

The fourth proportional to 4,656.40, 6,978.66 and 2,185.77 is: 3,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.40 : 6,978.66 = 2,185.77 : x
  2. Step 2: Convert to fraction form
    4,656.40/6,978.66 = 2,185.77/x
  3. Step 3: Cross multiply
    4,656.40x = 6,978.66 × 2,185.77
  4. Step 4: Simplify right side
    4,656.40x = 15,253,745.67
  5. Step 5: Solve for x
    x = 15,253,745.67/4,656.40
  6. Step 6: Final answer
    x = 3,275.87

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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.