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Finding the Fourth Proportional to 1,782.59, 2,689.82 and 1,715.09

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Solution

The fourth proportional to 1,782.59, 2,689.82 and 1,715.09 is: 2,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.59 : 2,689.82 = 1,715.09 : x
  2. Step 2: Convert to fraction form
    1,782.59/2,689.82 = 1,715.09/x
  3. Step 3: Cross multiply
    1,782.59x = 2,689.82 × 1,715.09
  4. Step 4: Simplify right side
    1,782.59x = 4,613,267.79
  5. Step 5: Solve for x
    x = 4,613,267.79/1,782.59
  6. Step 6: Final answer
    x = 2,587.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.