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Finding the Fourth Proportional to 9,714.26, 13,407.88 and 6,878.68

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Solution

The fourth proportional to 9,714.26, 13,407.88 and 6,878.68 is: 9,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.26 : 13,407.88 = 6,878.68 : x
  2. Step 2: Convert to fraction form
    9,714.26/13,407.88 = 6,878.68/x
  3. Step 3: Cross multiply
    9,714.26x = 13,407.88 × 6,878.68
  4. Step 4: Simplify right side
    9,714.26x = 92,228,516.00
  5. Step 5: Solve for x
    x = 92,228,516.00/9,714.26
  6. Step 6: Final answer
    x = 9,494.14

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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.