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Finding the Fourth Proportional to 19,714.59, 29,538.47 and 11,907

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Solution

The fourth proportional to 19,714.59, 29,538.47 and 11,907 is: 17,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.59 : 29,538.47 = 11,907 : x
  2. Step 2: Convert to fraction form
    19,714.59/29,538.47 = 11,907/x
  3. Step 3: Cross multiply
    19,714.59x = 29,538.47 × 11,907
  4. Step 4: Simplify right side
    19,714.59x = 351,714,592.06
  5. Step 5: Solve for x
    x = 351,714,592.06/19,714.59
  6. Step 6: Final answer
    x = 17,840.32

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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.