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Finding the Fourth Proportional to 2,612.10, 3,918.28 and 664.32

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Solution

The fourth proportional to 2,612.10, 3,918.28 and 664.32 is: 996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.10 : 3,918.28 = 664.32 : x
  2. Step 2: Convert to fraction form
    2,612.10/3,918.28 = 664.32/x
  3. Step 3: Cross multiply
    2,612.10x = 3,918.28 × 664.32
  4. Step 4: Simplify right side
    2,612.10x = 2,602,991.77
  5. Step 5: Solve for x
    x = 2,602,991.77/2,612.10
  6. Step 6: Final answer
    x = 996.51

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1.5x scale

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.