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Finding the Fourth Proportional to 2,141.48, 2,953.14 and 1,720.49

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Solution

The fourth proportional to 2,141.48, 2,953.14 and 1,720.49 is: 2,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.48 : 2,953.14 = 1,720.49 : x
  2. Step 2: Convert to fraction form
    2,141.48/2,953.14 = 1,720.49/x
  3. Step 3: Cross multiply
    2,141.48x = 2,953.14 × 1,720.49
  4. Step 4: Simplify right side
    2,141.48x = 5,080,833.07
  5. Step 5: Solve for x
    x = 5,080,833.07/2,141.48
  6. Step 6: Final answer
    x = 2,372.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.