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Finding the Fourth Proportional to 9,912.72, 14,840.28 and 7,714.79

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Solution

The fourth proportional to 9,912.72, 14,840.28 and 7,714.79 is: 11,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.72 : 14,840.28 = 7,714.79 : x
  2. Step 2: Convert to fraction form
    9,912.72/14,840.28 = 7,714.79/x
  3. Step 3: Cross multiply
    9,912.72x = 14,840.28 × 7,714.79
  4. Step 4: Simplify right side
    9,912.72x = 114,489,625.19
  5. Step 5: Solve for x
    x = 114,489,625.19/9,912.72
  6. Step 6: Final answer
    x = 11,549.76

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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.