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Finding the Fourth Proportional to 9,714.74, 13,378.37 and 9,271.87

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Solution

The fourth proportional to 9,714.74, 13,378.37 and 9,271.87 is: 12,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.74 : 13,378.37 = 9,271.87 : x
  2. Step 2: Convert to fraction form
    9,714.74/13,378.37 = 9,271.87/x
  3. Step 3: Cross multiply
    9,714.74x = 13,378.37 × 9,271.87
  4. Step 4: Simplify right side
    9,714.74x = 124,042,427.65
  5. Step 5: Solve for x
    x = 124,042,427.65/9,714.74
  6. Step 6: Final answer
    x = 12,768.48

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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.