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Finding the Fourth Proportional to 3,200.10, 4,803.82 and 3,017.86

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Solution

The fourth proportional to 3,200.10, 4,803.82 and 3,017.86 is: 4,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.10 : 4,803.82 = 3,017.86 : x
  2. Step 2: Convert to fraction form
    3,200.10/4,803.82 = 3,017.86/x
  3. Step 3: Cross multiply
    3,200.10x = 4,803.82 × 3,017.86
  4. Step 4: Simplify right side
    3,200.10x = 14,497,256.23
  5. Step 5: Solve for x
    x = 14,497,256.23/3,200.10
  6. Step 6: Final answer
    x = 4,530.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.