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Finding the Fourth Proportional to 1,612.55, 2,415.56 and 1,351.81

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Solution

The fourth proportional to 1,612.55, 2,415.56 and 1,351.81 is: 2,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.55 : 2,415.56 = 1,351.81 : x
  2. Step 2: Convert to fraction form
    1,612.55/2,415.56 = 1,351.81/x
  3. Step 3: Cross multiply
    1,612.55x = 2,415.56 × 1,351.81
  4. Step 4: Simplify right side
    1,612.55x = 3,265,378.16
  5. Step 5: Solve for x
    x = 3,265,378.16/1,612.55
  6. Step 6: Final answer
    x = 2,024.98

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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.