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Finding the Fourth Proportional to 2,301.94, 3,452.91 and 840.07

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Solution

The fourth proportional to 2,301.94, 3,452.91 and 840.07 is: 1,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.94 : 3,452.91 = 840.07 : x
  2. Step 2: Convert to fraction form
    2,301.94/3,452.91 = 840.07/x
  3. Step 3: Cross multiply
    2,301.94x = 3,452.91 × 840.07
  4. Step 4: Simplify right side
    2,301.94x = 2,900,686.10
  5. Step 5: Solve for x
    x = 2,900,686.10/2,301.94
  6. Step 6: Final answer
    x = 1,260.11

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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.