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Finding the Fourth Proportional to 12,077.84, 16,668.28 and 6,700.54

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Solution

The fourth proportional to 12,077.84, 16,668.28 and 6,700.54 is: 9,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.84 : 16,668.28 = 6,700.54 : x
  2. Step 2: Convert to fraction form
    12,077.84/16,668.28 = 6,700.54/x
  3. Step 3: Cross multiply
    12,077.84x = 16,668.28 × 6,700.54
  4. Step 4: Simplify right side
    12,077.84x = 111,686,476.87
  5. Step 5: Solve for x
    x = 111,686,476.87/12,077.84
  6. Step 6: Final answer
    x = 9,247.22

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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.