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Finding the Fourth Proportional to 9,978, 14,966.94 and 2,582.43

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Solution

The fourth proportional to 9,978, 14,966.94 and 2,582.43 is: 3,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978 : 14,966.94 = 2,582.43 : x
  2. Step 2: Convert to fraction form
    9,978/14,966.94 = 2,582.43/x
  3. Step 3: Cross multiply
    9,978x = 14,966.94 × 2,582.43
  4. Step 4: Simplify right side
    9,978x = 38,651,074.86
  5. Step 5: Solve for x
    x = 38,651,074.86/9,978
  6. Step 6: Final answer
    x = 3,873.63

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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.