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Finding the Fourth Proportional to 5,657.18, 8,485.80 and 1,708.46

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Solution

The fourth proportional to 5,657.18, 8,485.80 and 1,708.46 is: 2,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.18 : 8,485.80 = 1,708.46 : x
  2. Step 2: Convert to fraction form
    5,657.18/8,485.80 = 1,708.46/x
  3. Step 3: Cross multiply
    5,657.18x = 8,485.80 × 1,708.46
  4. Step 4: Simplify right side
    5,657.18x = 14,497,607.44
  5. Step 5: Solve for x
    x = 14,497,607.44/5,657.18
  6. Step 6: Final answer
    x = 2,562.69

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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.