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Finding the Fourth Proportional to 11,984.03, 16,538.16 and 6,678.84

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Solution

The fourth proportional to 11,984.03, 16,538.16 and 6,678.84 is: 9,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.03 : 16,538.16 = 6,678.84 : x
  2. Step 2: Convert to fraction form
    11,984.03/16,538.16 = 6,678.84/x
  3. Step 3: Cross multiply
    11,984.03x = 16,538.16 × 6,678.84
  4. Step 4: Simplify right side
    11,984.03x = 110,455,724.53
  5. Step 5: Solve for x
    x = 110,455,724.53/11,984.03
  6. Step 6: Final answer
    x = 9,216.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.