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Finding the Fourth Proportional to 1,717.88, 2,371.10 and 1,054.62

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Solution

The fourth proportional to 1,717.88, 2,371.10 and 1,054.62 is: 1,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.88 : 2,371.10 = 1,054.62 : x
  2. Step 2: Convert to fraction form
    1,717.88/2,371.10 = 1,054.62/x
  3. Step 3: Cross multiply
    1,717.88x = 2,371.10 × 1,054.62
  4. Step 4: Simplify right side
    1,717.88x = 2,500,604.21
  5. Step 5: Solve for x
    x = 2,500,604.21/1,717.88
  6. Step 6: Final answer
    x = 1,455.64

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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.