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Finding the Fourth Proportional to 3,543.52, 4,890.90 and 2,146

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Solution

The fourth proportional to 3,543.52, 4,890.90 and 2,146 is: 2,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.52 : 4,890.90 = 2,146 : x
  2. Step 2: Convert to fraction form
    3,543.52/4,890.90 = 2,146/x
  3. Step 3: Cross multiply
    3,543.52x = 4,890.90 × 2,146
  4. Step 4: Simplify right side
    3,543.52x = 10,495,871.40
  5. Step 5: Solve for x
    x = 10,495,871.40/3,543.52
  6. Step 6: Final answer
    x = 2,961.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.