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Finding the Fourth Proportional to 11,746, 16,207.99 and 6,439.42

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Solution

The fourth proportional to 11,746, 16,207.99 and 6,439.42 is: 8,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 16,207.99 = 6,439.42 : x
  2. Step 2: Convert to fraction form
    11,746/16,207.99 = 6,439.42/x
  3. Step 3: Cross multiply
    11,746x = 16,207.99 × 6,439.42
  4. Step 4: Simplify right side
    11,746x = 104,370,054.97
  5. Step 5: Solve for x
    x = 104,370,054.97/11,746
  6. Step 6: Final answer
    x = 8,885.58

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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.