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Finding the Fourth Proportional to 1,720.93, 2,581.47 and 1,139.65

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Solution

The fourth proportional to 1,720.93, 2,581.47 and 1,139.65 is: 1,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.93 : 2,581.47 = 1,139.65 : x
  2. Step 2: Convert to fraction form
    1,720.93/2,581.47 = 1,139.65/x
  3. Step 3: Cross multiply
    1,720.93x = 2,581.47 × 1,139.65
  4. Step 4: Simplify right side
    1,720.93x = 2,941,972.29
  5. Step 5: Solve for x
    x = 2,941,972.29/1,720.93
  6. Step 6: Final answer
    x = 1,709.52

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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.