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Finding the Fourth Proportional to 11,969, 16,517.54 and 6,664.04

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Solution

The fourth proportional to 11,969, 16,517.54 and 6,664.04 is: 9,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969 : 16,517.54 = 6,664.04 : x
  2. Step 2: Convert to fraction form
    11,969/16,517.54 = 6,664.04/x
  3. Step 3: Cross multiply
    11,969x = 16,517.54 × 6,664.04
  4. Step 4: Simplify right side
    11,969x = 110,073,547.26
  5. Step 5: Solve for x
    x = 110,073,547.26/11,969
  6. Step 6: Final answer
    x = 9,196.55

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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.