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Finding the Fourth Proportional to 7,776, 10,730.90 and 4,239.14

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Solution

The fourth proportional to 7,776, 10,730.90 and 4,239.14 is: 5,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 10,730.90 = 4,239.14 : x
  2. Step 2: Convert to fraction form
    7,776/10,730.90 = 4,239.14/x
  3. Step 3: Cross multiply
    7,776x = 10,730.90 × 4,239.14
  4. Step 4: Simplify right side
    7,776x = 45,489,744.37
  5. Step 5: Solve for x
    x = 45,489,744.37/7,776
  6. Step 6: Final answer
    x = 5,850.02

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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.