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Finding the Fourth Proportional to 10,404.38, 15,608.12 and 3,830.06

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Solution

The fourth proportional to 10,404.38, 15,608.12 and 3,830.06 is: 5,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.38 : 15,608.12 = 3,830.06 : x
  2. Step 2: Convert to fraction form
    10,404.38/15,608.12 = 3,830.06/x
  3. Step 3: Cross multiply
    10,404.38x = 15,608.12 × 3,830.06
  4. Step 4: Simplify right side
    10,404.38x = 59,779,938.90
  5. Step 5: Solve for x
    x = 59,779,938.90/10,404.38
  6. Step 6: Final answer
    x = 5,745.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.