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Finding the Fourth Proportional to 9,391, 12,959.60 and 5,199.88

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Solution

The fourth proportional to 9,391, 12,959.60 and 5,199.88 is: 7,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391 : 12,959.60 = 5,199.88 : x
  2. Step 2: Convert to fraction form
    9,391/12,959.60 = 5,199.88/x
  3. Step 3: Cross multiply
    9,391x = 12,959.60 × 5,199.88
  4. Step 4: Simplify right side
    9,391x = 67,388,364.85
  5. Step 5: Solve for x
    x = 67,388,364.85/9,391
  6. Step 6: Final answer
    x = 7,175.85

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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.