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Finding the Fourth Proportional to 5,080.64, 7,621.92 and 1,617.92

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Solution

The fourth proportional to 5,080.64, 7,621.92 and 1,617.92 is: 2,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080.64 : 7,621.92 = 1,617.92 : x
  2. Step 2: Convert to fraction form
    5,080.64/7,621.92 = 1,617.92/x
  3. Step 3: Cross multiply
    5,080.64x = 7,621.92 × 1,617.92
  4. Step 4: Simplify right side
    5,080.64x = 12,331,656.81
  5. Step 5: Solve for x
    x = 12,331,656.81/5,080.64
  6. Step 6: Final answer
    x = 2,427.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.