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Finding the Fourth Proportional to 9,786.86, 14,680.28 and 6,878.15

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Solution

The fourth proportional to 9,786.86, 14,680.28 and 6,878.15 is: 10,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.86 : 14,680.28 = 6,878.15 : x
  2. Step 2: Convert to fraction form
    9,786.86/14,680.28 = 6,878.15/x
  3. Step 3: Cross multiply
    9,786.86x = 14,680.28 × 6,878.15
  4. Step 4: Simplify right side
    9,786.86x = 100,973,111.68
  5. Step 5: Solve for x
    x = 100,973,111.68/9,786.86
  6. Step 6: Final answer
    x = 10,317.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.