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Finding the Fourth Proportional to 3,137.84, 4,703.52 and 1,406.96

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Solution

The fourth proportional to 3,137.84, 4,703.52 and 1,406.96 is: 2,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.84 : 4,703.52 = 1,406.96 : x
  2. Step 2: Convert to fraction form
    3,137.84/4,703.52 = 1,406.96/x
  3. Step 3: Cross multiply
    3,137.84x = 4,703.52 × 1,406.96
  4. Step 4: Simplify right side
    3,137.84x = 6,617,664.50
  5. Step 5: Solve for x
    x = 6,617,664.50/3,137.84
  6. Step 6: Final answer
    x = 2,108.99

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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.