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Finding the Fourth Proportional to 8,945, 13,419.88 and 3,101.60

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Solution

The fourth proportional to 8,945, 13,419.88 and 3,101.60 is: 4,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945 : 13,419.88 = 3,101.60 : x
  2. Step 2: Convert to fraction form
    8,945/13,419.88 = 3,101.60/x
  3. Step 3: Cross multiply
    8,945x = 13,419.88 × 3,101.60
  4. Step 4: Simplify right side
    8,945x = 41,623,099.81
  5. Step 5: Solve for x
    x = 41,623,099.81/8,945
  6. Step 6: Final answer
    x = 4,653.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.