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Finding the Fourth Proportional to 8,198.02, 11,312.49 and 5,053.60

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Solution

The fourth proportional to 8,198.02, 11,312.49 and 5,053.60 is: 6,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.02 : 11,312.49 = 5,053.60 : x
  2. Step 2: Convert to fraction form
    8,198.02/11,312.49 = 5,053.60/x
  3. Step 3: Cross multiply
    8,198.02x = 11,312.49 × 5,053.60
  4. Step 4: Simplify right side
    8,198.02x = 57,168,799.46
  5. Step 5: Solve for x
    x = 57,168,799.46/8,198.02
  6. Step 6: Final answer
    x = 6,973.49

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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.