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Finding the Fourth Proportional to 1,374.57, 2,072.64 and 1,259.75

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Solution

The fourth proportional to 1,374.57, 2,072.64 and 1,259.75 is: 1,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.57 : 2,072.64 = 1,259.75 : x
  2. Step 2: Convert to fraction form
    1,374.57/2,072.64 = 1,259.75/x
  3. Step 3: Cross multiply
    1,374.57x = 2,072.64 × 1,259.75
  4. Step 4: Simplify right side
    1,374.57x = 2,611,008.24
  5. Step 5: Solve for x
    x = 2,611,008.24/1,374.57
  6. Step 6: Final answer
    x = 1,899.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.