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Finding the Fourth Proportional to 2,590.98, 3,906 and 2,423.94

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Solution

The fourth proportional to 2,590.98, 3,906 and 2,423.94 is: 3,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.98 : 3,906 = 2,423.94 : x
  2. Step 2: Convert to fraction form
    2,590.98/3,906 = 2,423.94/x
  3. Step 3: Cross multiply
    2,590.98x = 3,906 × 2,423.94
  4. Step 4: Simplify right side
    2,590.98x = 9,467,909.64
  5. Step 5: Solve for x
    x = 9,467,909.64/2,590.98
  6. Step 6: Final answer
    x = 3,654.18

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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.