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Finding the Fourth Proportional to 4,992.85, 7,490.22 and 1,705.87

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Solution

The fourth proportional to 4,992.85, 7,490.22 and 1,705.87 is: 2,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.85 : 7,490.22 = 1,705.87 : x
  2. Step 2: Convert to fraction form
    4,992.85/7,490.22 = 1,705.87/x
  3. Step 3: Cross multiply
    4,992.85x = 7,490.22 × 1,705.87
  4. Step 4: Simplify right side
    4,992.85x = 12,777,341.59
  5. Step 5: Solve for x
    x = 12,777,341.59/4,992.85
  6. Step 6: Final answer
    x = 2,559.13

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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.