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Finding the Fourth Proportional to 5,641.90, 8,456.10 and 2,353.30

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Solution

The fourth proportional to 5,641.90, 8,456.10 and 2,353.30 is: 3,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.90 : 8,456.10 = 2,353.30 : x
  2. Step 2: Convert to fraction form
    5,641.90/8,456.10 = 2,353.30/x
  3. Step 3: Cross multiply
    5,641.90x = 8,456.10 × 2,353.30
  4. Step 4: Simplify right side
    5,641.90x = 19,899,740.13
  5. Step 5: Solve for x
    x = 19,899,740.13/5,641.90
  6. Step 6: Final answer
    x = 3,527.13

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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.