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Finding the Fourth Proportional to 8,813.40, 13,146.14 and 8,097

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Solution

The fourth proportional to 8,813.40, 13,146.14 and 8,097 is: 12,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.40 : 13,146.14 = 8,097 : x
  2. Step 2: Convert to fraction form
    8,813.40/13,146.14 = 8,097/x
  3. Step 3: Cross multiply
    8,813.40x = 13,146.14 × 8,097
  4. Step 4: Simplify right side
    8,813.40x = 106,444,255.10
  5. Step 5: Solve for x
    x = 106,444,255.10/8,813.40
  6. Step 6: Final answer
    x = 12,077.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.