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Finding the Fourth Proportional to 7,196.44, 9,931.80 and 4,212.10

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Solution

The fourth proportional to 7,196.44, 9,931.80 and 4,212.10 is: 5,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.44 : 9,931.80 = 4,212.10 : x
  2. Step 2: Convert to fraction form
    7,196.44/9,931.80 = 4,212.10/x
  3. Step 3: Cross multiply
    7,196.44x = 9,931.80 × 4,212.10
  4. Step 4: Simplify right side
    7,196.44x = 41,833,664.06
  5. Step 5: Solve for x
    x = 41,833,664.06/7,196.44
  6. Step 6: Final answer
    x = 5,813.11

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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.