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Finding the Fourth Proportional to 2,301.44, 3,453 and 840.74

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Solution

The fourth proportional to 2,301.44, 3,453 and 840.74 is: 1,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.44 : 3,453 = 840.74 : x
  2. Step 2: Convert to fraction form
    2,301.44/3,453 = 840.74/x
  3. Step 3: Cross multiply
    2,301.44x = 3,453 × 840.74
  4. Step 4: Simplify right side
    2,301.44x = 2,903,075.22
  5. Step 5: Solve for x
    x = 2,903,075.22/2,301.44
  6. Step 6: Final answer
    x = 1,261.42

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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.