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Finding the Fourth Proportional to 11,988.34, 16,543.74 and 6,683.14

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Solution

The fourth proportional to 11,988.34, 16,543.74 and 6,683.14 is: 9,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988.34 : 16,543.74 = 6,683.14 : x
  2. Step 2: Convert to fraction form
    11,988.34/16,543.74 = 6,683.14/x
  3. Step 3: Cross multiply
    11,988.34x = 16,543.74 × 6,683.14
  4. Step 4: Simplify right side
    11,988.34x = 110,564,130.54
  5. Step 5: Solve for x
    x = 110,564,130.54/11,988.34
  6. Step 6: Final answer
    x = 9,222.64

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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.