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Finding the Fourth Proportional to 3,188.66, 4,774.32 and 1,646.42

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Solution

The fourth proportional to 3,188.66, 4,774.32 and 1,646.42 is: 2,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.66 : 4,774.32 = 1,646.42 : x
  2. Step 2: Convert to fraction form
    3,188.66/4,774.32 = 1,646.42/x
  3. Step 3: Cross multiply
    3,188.66x = 4,774.32 × 1,646.42
  4. Step 4: Simplify right side
    3,188.66x = 7,860,535.93
  5. Step 5: Solve for x
    x = 7,860,535.93/3,188.66
  6. Step 6: Final answer
    x = 2,465.15

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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.