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Finding the Fourth Proportional to 9,195, 12,685.16 and 7,197.54

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Solution

The fourth proportional to 9,195, 12,685.16 and 7,197.54 is: 9,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195 : 12,685.16 = 7,197.54 : x
  2. Step 2: Convert to fraction form
    9,195/12,685.16 = 7,197.54/x
  3. Step 3: Cross multiply
    9,195x = 12,685.16 × 7,197.54
  4. Step 4: Simplify right side
    9,195x = 91,301,946.51
  5. Step 5: Solve for x
    x = 91,301,946.51/9,195
  6. Step 6: Final answer
    x = 9,929.52

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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.