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Finding the Fourth Proportional to 1,718.56, 2,566.20 and 1,349.20

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Solution

The fourth proportional to 1,718.56, 2,566.20 and 1,349.20 is: 2,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.56 : 2,566.20 = 1,349.20 : x
  2. Step 2: Convert to fraction form
    1,718.56/2,566.20 = 1,349.20/x
  3. Step 3: Cross multiply
    1,718.56x = 2,566.20 × 1,349.20
  4. Step 4: Simplify right side
    1,718.56x = 3,462,317.04
  5. Step 5: Solve for x
    x = 3,462,317.04/1,718.56
  6. Step 6: Final answer
    x = 2,014.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.