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Finding the Fourth Proportional to 3,114.99, 4,677.21 and 1,887.84

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Solution

The fourth proportional to 3,114.99, 4,677.21 and 1,887.84 is: 2,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.99 : 4,677.21 = 1,887.84 : x
  2. Step 2: Convert to fraction form
    3,114.99/4,677.21 = 1,887.84/x
  3. Step 3: Cross multiply
    3,114.99x = 4,677.21 × 1,887.84
  4. Step 4: Simplify right side
    3,114.99x = 8,829,824.13
  5. Step 5: Solve for x
    x = 8,829,824.13/3,114.99
  6. Step 6: Final answer
    x = 2,834.62

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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.