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Finding the Fourth Proportional to 1,840.70, 2,758.29 and 1,575.74

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Solution

The fourth proportional to 1,840.70, 2,758.29 and 1,575.74 is: 2,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.70 : 2,758.29 = 1,575.74 : x
  2. Step 2: Convert to fraction form
    1,840.70/2,758.29 = 1,575.74/x
  3. Step 3: Cross multiply
    1,840.70x = 2,758.29 × 1,575.74
  4. Step 4: Simplify right side
    1,840.70x = 4,346,334.09
  5. Step 5: Solve for x
    x = 4,346,334.09/1,840.70
  6. Step 6: Final answer
    x = 2,361.25

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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.