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Finding the Fourth Proportional to 5,585.24, 8,379.24 and 1,689.68

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Solution

The fourth proportional to 5,585.24, 8,379.24 and 1,689.68 is: 2,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.24 : 8,379.24 = 1,689.68 : x
  2. Step 2: Convert to fraction form
    5,585.24/8,379.24 = 1,689.68/x
  3. Step 3: Cross multiply
    5,585.24x = 8,379.24 × 1,689.68
  4. Step 4: Simplify right side
    5,585.24x = 14,158,234.24
  5. Step 5: Solve for x
    x = 14,158,234.24/5,585.24
  6. Step 6: Final answer
    x = 2,534.94

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1.5x scale

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.