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Finding the Fourth Proportional to 3,410.66, 5,117.64 and 1,657.16

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Solution

The fourth proportional to 3,410.66, 5,117.64 and 1,657.16 is: 2,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.66 : 5,117.64 = 1,657.16 : x
  2. Step 2: Convert to fraction form
    3,410.66/5,117.64 = 1,657.16/x
  3. Step 3: Cross multiply
    3,410.66x = 5,117.64 × 1,657.16
  4. Step 4: Simplify right side
    3,410.66x = 8,480,748.30
  5. Step 5: Solve for x
    x = 8,480,748.30/3,410.66
  6. Step 6: Final answer
    x = 2,486.54

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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.