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Finding the Fourth Proportional to 11,781, 16,257.74 and 6,476.16

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Solution

The fourth proportional to 11,781, 16,257.74 and 6,476.16 is: 8,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781 : 16,257.74 = 6,476.16 : x
  2. Step 2: Convert to fraction form
    11,781/16,257.74 = 6,476.16/x
  3. Step 3: Cross multiply
    11,781x = 16,257.74 × 6,476.16
  4. Step 4: Simplify right side
    11,781x = 105,287,725.48
  5. Step 5: Solve for x
    x = 105,287,725.48/11,781
  6. Step 6: Final answer
    x = 8,937.08

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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.