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Finding the Fourth Proportional to 8,193.84, 11,307.96 and 5,397.36

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Solution

The fourth proportional to 8,193.84, 11,307.96 and 5,397.36 is: 7,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.84 : 11,307.96 = 5,397.36 : x
  2. Step 2: Convert to fraction form
    8,193.84/11,307.96 = 5,397.36/x
  3. Step 3: Cross multiply
    8,193.84x = 11,307.96 × 5,397.36
  4. Step 4: Simplify right side
    8,193.84x = 61,033,130.99
  5. Step 5: Solve for x
    x = 61,033,130.99/8,193.84
  6. Step 6: Final answer
    x = 7,448.66

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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.