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Finding the Fourth Proportional to 3,137.90, 4,706.85 and 1,409.90

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Solution

The fourth proportional to 3,137.90, 4,706.85 and 1,409.90 is: 2,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.90 : 4,706.85 = 1,409.90 : x
  2. Step 2: Convert to fraction form
    3,137.90/4,706.85 = 1,409.90/x
  3. Step 3: Cross multiply
    3,137.90x = 4,706.85 × 1,409.90
  4. Step 4: Simplify right side
    3,137.90x = 6,636,187.82
  5. Step 5: Solve for x
    x = 6,636,187.82/3,137.90
  6. Step 6: Final answer
    x = 2,114.85

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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.