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Finding the Fourth Proportional to 3,410.64, 5,117.50 and 1,655.32

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Solution

The fourth proportional to 3,410.64, 5,117.50 and 1,655.32 is: 2,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.64 : 5,117.50 = 1,655.32 : x
  2. Step 2: Convert to fraction form
    3,410.64/5,117.50 = 1,655.32/x
  3. Step 3: Cross multiply
    3,410.64x = 5,117.50 × 1,655.32
  4. Step 4: Simplify right side
    3,410.64x = 8,471,100.10
  5. Step 5: Solve for x
    x = 8,471,100.10/3,410.64
  6. Step 6: Final answer
    x = 2,483.73

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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.