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Finding the Fourth Proportional to 10,305.83, 14,222.08 and 5,590.15

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Solution

The fourth proportional to 10,305.83, 14,222.08 and 5,590.15 is: 7,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.83 : 14,222.08 = 5,590.15 : x
  2. Step 2: Convert to fraction form
    10,305.83/14,222.08 = 5,590.15/x
  3. Step 3: Cross multiply
    10,305.83x = 14,222.08 × 5,590.15
  4. Step 4: Simplify right side
    10,305.83x = 79,503,531.94
  5. Step 5: Solve for x
    x = 79,503,531.94/10,305.83
  6. Step 6: Final answer
    x = 7,714.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.