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Finding the Fourth Proportional to 5,780, 8,670.24 and 1,676

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Solution

The fourth proportional to 5,780, 8,670.24 and 1,676 is: 2,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 8,670.24 = 1,676 : x
  2. Step 2: Convert to fraction form
    5,780/8,670.24 = 1,676/x
  3. Step 3: Cross multiply
    5,780x = 8,670.24 × 1,676
  4. Step 4: Simplify right side
    5,780x = 14,531,322.24
  5. Step 5: Solve for x
    x = 14,531,322.24/5,780
  6. Step 6: Final answer
    x = 2,514.07

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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.