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Finding the Fourth Proportional to 3,293.47, 4,543.62 and 2,158.83

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Solution

The fourth proportional to 3,293.47, 4,543.62 and 2,158.83 is: 2,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.47 : 4,543.62 = 2,158.83 : x
  2. Step 2: Convert to fraction form
    3,293.47/4,543.62 = 2,158.83/x
  3. Step 3: Cross multiply
    3,293.47x = 4,543.62 × 2,158.83
  4. Step 4: Simplify right side
    3,293.47x = 9,808,903.16
  5. Step 5: Solve for x
    x = 9,808,903.16/3,293.47
  6. Step 6: Final answer
    x = 2,978.29

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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.