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Finding the Fourth Proportional to 3,138.84, 4,703.74 and 1,730.25

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Solution

The fourth proportional to 3,138.84, 4,703.74 and 1,730.25 is: 2,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.84 : 4,703.74 = 1,730.25 : x
  2. Step 2: Convert to fraction form
    3,138.84/4,703.74 = 1,730.25/x
  3. Step 3: Cross multiply
    3,138.84x = 4,703.74 × 1,730.25
  4. Step 4: Simplify right side
    3,138.84x = 8,138,641.81
  5. Step 5: Solve for x
    x = 8,138,641.81/3,138.84
  6. Step 6: Final answer
    x = 2,592.88

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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.