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Finding the Fourth Proportional to 4,612.25, 6,914.26 and 1,689.87

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Solution

The fourth proportional to 4,612.25, 6,914.26 and 1,689.87 is: 2,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.25 : 6,914.26 = 1,689.87 : x
  2. Step 2: Convert to fraction form
    4,612.25/6,914.26 = 1,689.87/x
  3. Step 3: Cross multiply
    4,612.25x = 6,914.26 × 1,689.87
  4. Step 4: Simplify right side
    4,612.25x = 11,684,200.55
  5. Step 5: Solve for x
    x = 11,684,200.55/4,612.25
  6. Step 6: Final answer
    x = 2,533.30

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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.