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Finding the Fourth Proportional to 11,967.74, 16,513.86 and 6,661.84

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Solution

The fourth proportional to 11,967.74, 16,513.86 and 6,661.84 is: 9,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.74 : 16,513.86 = 6,661.84 : x
  2. Step 2: Convert to fraction form
    11,967.74/16,513.86 = 6,661.84/x
  3. Step 3: Cross multiply
    11,967.74x = 16,513.86 × 6,661.84
  4. Step 4: Simplify right side
    11,967.74x = 110,012,693.10
  5. Step 5: Solve for x
    x = 110,012,693.10/11,967.74
  6. Step 6: Final answer
    x = 9,192.44

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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.