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Finding the Fourth Proportional to 12,023.45, 16,591.86 and 6,987.63

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Solution

The fourth proportional to 12,023.45, 16,591.86 and 6,987.63 is: 9,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.45 : 16,591.86 = 6,987.63 : x
  2. Step 2: Convert to fraction form
    12,023.45/16,591.86 = 6,987.63/x
  3. Step 3: Cross multiply
    12,023.45x = 16,591.86 × 6,987.63
  4. Step 4: Simplify right side
    12,023.45x = 115,937,778.69
  5. Step 5: Solve for x
    x = 115,937,778.69/12,023.45
  6. Step 6: Final answer
    x = 9,642.64

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