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Finding the Fourth Proportional to 2,099.96, 2,898.84 and 1,313.84

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Solution

The fourth proportional to 2,099.96, 2,898.84 and 1,313.84 is: 1,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.96 : 2,898.84 = 1,313.84 : x
  2. Step 2: Convert to fraction form
    2,099.96/2,898.84 = 1,313.84/x
  3. Step 3: Cross multiply
    2,099.96x = 2,898.84 × 1,313.84
  4. Step 4: Simplify right side
    2,099.96x = 3,808,611.95
  5. Step 5: Solve for x
    x = 3,808,611.95/2,099.96
  6. Step 6: Final answer
    x = 1,813.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.