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Finding the Fourth Proportional to 2,301, 3,442.86 and 1,431.24

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Solution

The fourth proportional to 2,301, 3,442.86 and 1,431.24 is: 2,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301 : 3,442.86 = 1,431.24 : x
  2. Step 2: Convert to fraction form
    2,301/3,442.86 = 1,431.24/x
  3. Step 3: Cross multiply
    2,301x = 3,442.86 × 1,431.24
  4. Step 4: Simplify right side
    2,301x = 4,927,558.95
  5. Step 5: Solve for x
    x = 4,927,558.95/2,301
  6. Step 6: Final answer
    x = 2,141.49

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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.