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Finding the Fourth Proportional to 1,691.45, 2,539 and 1,420.51

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Solution

The fourth proportional to 1,691.45, 2,539 and 1,420.51 is: 2,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.45 : 2,539 = 1,420.51 : x
  2. Step 2: Convert to fraction form
    1,691.45/2,539 = 1,420.51/x
  3. Step 3: Cross multiply
    1,691.45x = 2,539 × 1,420.51
  4. Step 4: Simplify right side
    1,691.45x = 3,606,662.20
  5. Step 5: Solve for x
    x = 3,606,662.20/1,691.45
  6. Step 6: Final answer
    x = 2,132.29

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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.