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Finding the Fourth Proportional to 10,993.74, 15,172.10 and 6,212.02

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Solution

The fourth proportional to 10,993.74, 15,172.10 and 6,212.02 is: 8,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.74 : 15,172.10 = 6,212.02 : x
  2. Step 2: Convert to fraction form
    10,993.74/15,172.10 = 6,212.02/x
  3. Step 3: Cross multiply
    10,993.74x = 15,172.10 × 6,212.02
  4. Step 4: Simplify right side
    10,993.74x = 94,249,388.64
  5. Step 5: Solve for x
    x = 94,249,388.64/10,993.74
  6. Step 6: Final answer
    x = 8,573.01

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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.