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Finding the Fourth Proportional to 1,859.64, 2,790.60 and 994.56

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Solution

The fourth proportional to 1,859.64, 2,790.60 and 994.56 is: 1,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.64 : 2,790.60 = 994.56 : x
  2. Step 2: Convert to fraction form
    1,859.64/2,790.60 = 994.56/x
  3. Step 3: Cross multiply
    1,859.64x = 2,790.60 × 994.56
  4. Step 4: Simplify right side
    1,859.64x = 2,775,419.14
  5. Step 5: Solve for x
    x = 2,775,419.14/1,859.64
  6. Step 6: Final answer
    x = 1,492.45

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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.