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Finding the Fourth Proportional to 7,120.86, 10,681.62 and 5,050.14

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Solution

The fourth proportional to 7,120.86, 10,681.62 and 5,050.14 is: 7,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.86 : 10,681.62 = 5,050.14 : x
  2. Step 2: Convert to fraction form
    7,120.86/10,681.62 = 5,050.14/x
  3. Step 3: Cross multiply
    7,120.86x = 10,681.62 × 5,050.14
  4. Step 4: Simplify right side
    7,120.86x = 53,943,676.43
  5. Step 5: Solve for x
    x = 53,943,676.43/7,120.86
  6. Step 6: Final answer
    x = 7,575.44

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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.