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Finding the Fourth Proportional to 1,865, 2,799.94 and 1,736.62

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Solution

The fourth proportional to 1,865, 2,799.94 and 1,736.62 is: 2,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865 : 2,799.94 = 1,736.62 : x
  2. Step 2: Convert to fraction form
    1,865/2,799.94 = 1,736.62/x
  3. Step 3: Cross multiply
    1,865x = 2,799.94 × 1,736.62
  4. Step 4: Simplify right side
    1,865x = 4,862,431.80
  5. Step 5: Solve for x
    x = 4,862,431.80/1,865
  6. Step 6: Final answer
    x = 2,607.20

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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.