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Finding the Fourth Proportional to 2,199.64, 3,035.74 and 1,402.99

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Solution

The fourth proportional to 2,199.64, 3,035.74 and 1,402.99 is: 1,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.64 : 3,035.74 = 1,402.99 : x
  2. Step 2: Convert to fraction form
    2,199.64/3,035.74 = 1,402.99/x
  3. Step 3: Cross multiply
    2,199.64x = 3,035.74 × 1,402.99
  4. Step 4: Simplify right side
    2,199.64x = 4,259,097.68
  5. Step 5: Solve for x
    x = 4,259,097.68/2,199.64
  6. Step 6: Final answer
    x = 1,936.27

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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.