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Finding the Fourth Proportional to 19,809.90, 29,714.63 and 4,817.11

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Solution

The fourth proportional to 19,809.90, 29,714.63 and 4,817.11 is: 7,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.90 : 29,714.63 = 4,817.11 : x
  2. Step 2: Convert to fraction form
    19,809.90/29,714.63 = 4,817.11/x
  3. Step 3: Cross multiply
    19,809.90x = 29,714.63 × 4,817.11
  4. Step 4: Simplify right side
    19,809.90x = 143,138,641.32
  5. Step 5: Solve for x
    x = 143,138,641.32/19,809.90
  6. Step 6: Final answer
    x = 7,225.61

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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.