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Finding the Fourth Proportional to 3,200.49, 4,794.30 and 2,543.45

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Solution

The fourth proportional to 3,200.49, 4,794.30 and 2,543.45 is: 3,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.49 : 4,794.30 = 2,543.45 : x
  2. Step 2: Convert to fraction form
    3,200.49/4,794.30 = 2,543.45/x
  3. Step 3: Cross multiply
    3,200.49x = 4,794.30 × 2,543.45
  4. Step 4: Simplify right side
    3,200.49x = 12,194,038.36
  5. Step 5: Solve for x
    x = 12,194,038.36/3,200.49
  6. Step 6: Final answer
    x = 3,810.05

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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.