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Finding the Fourth Proportional to 5,590, 8,385 and 1,694.71

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Solution

The fourth proportional to 5,590, 8,385 and 1,694.71 is: 2,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590 : 8,385 = 1,694.71 : x
  2. Step 2: Convert to fraction form
    5,590/8,385 = 1,694.71/x
  3. Step 3: Cross multiply
    5,590x = 8,385 × 1,694.71
  4. Step 4: Simplify right side
    5,590x = 14,210,143.35
  5. Step 5: Solve for x
    x = 14,210,143.35/5,590
  6. Step 6: Final answer
    x = 2,542.07

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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.