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Finding the Fourth Proportional to 9,166.96, 12,650.75 and 5,187.84

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Solution

The fourth proportional to 9,166.96, 12,650.75 and 5,187.84 is: 7,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.96 : 12,650.75 = 5,187.84 : x
  2. Step 2: Convert to fraction form
    9,166.96/12,650.75 = 5,187.84/x
  3. Step 3: Cross multiply
    9,166.96x = 12,650.75 × 5,187.84
  4. Step 4: Simplify right side
    9,166.96x = 65,630,066.88
  5. Step 5: Solve for x
    x = 65,630,066.88/9,166.96
  6. Step 6: Final answer
    x = 7,159.41

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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.