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Finding the Fourth Proportional to 9,986, 14,978.94 and 2,590.44

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Solution

The fourth proportional to 9,986, 14,978.94 and 2,590.44 is: 3,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986 : 14,978.94 = 2,590.44 : x
  2. Step 2: Convert to fraction form
    9,986/14,978.94 = 2,590.44/x
  3. Step 3: Cross multiply
    9,986x = 14,978.94 × 2,590.44
  4. Step 4: Simplify right side
    9,986x = 38,802,045.33
  5. Step 5: Solve for x
    x = 38,802,045.33/9,986
  6. Step 6: Final answer
    x = 3,885.64

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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.