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Finding the Fourth Proportional to 5,355.12, 8,032.08 and 1,657.02

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Solution

The fourth proportional to 5,355.12, 8,032.08 and 1,657.02 is: 2,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.12 : 8,032.08 = 1,657.02 : x
  2. Step 2: Convert to fraction form
    5,355.12/8,032.08 = 1,657.02/x
  3. Step 3: Cross multiply
    5,355.12x = 8,032.08 × 1,657.02
  4. Step 4: Simplify right side
    5,355.12x = 13,309,317.20
  5. Step 5: Solve for x
    x = 13,309,317.20/5,355.12
  6. Step 6: Final answer
    x = 2,485.34

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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.