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Finding the Fourth Proportional to 5,590.66, 7,715.29 and 3,072.86

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Solution

The fourth proportional to 5,590.66, 7,715.29 and 3,072.86 is: 4,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.66 : 7,715.29 = 3,072.86 : x
  2. Step 2: Convert to fraction form
    5,590.66/7,715.29 = 3,072.86/x
  3. Step 3: Cross multiply
    5,590.66x = 7,715.29 × 3,072.86
  4. Step 4: Simplify right side
    5,590.66x = 23,707,972.77
  5. Step 5: Solve for x
    x = 23,707,972.77/5,590.66
  6. Step 6: Final answer
    x = 4,240.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.