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Finding the Fourth Proportional to 7,775.18, 11,662.46 and 2,509.98

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Solution

The fourth proportional to 7,775.18, 11,662.46 and 2,509.98 is: 3,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.18 : 11,662.46 = 2,509.98 : x
  2. Step 2: Convert to fraction form
    7,775.18/11,662.46 = 2,509.98/x
  3. Step 3: Cross multiply
    7,775.18x = 11,662.46 × 2,509.98
  4. Step 4: Simplify right side
    7,775.18x = 29,272,541.35
  5. Step 5: Solve for x
    x = 29,272,541.35/7,775.18
  6. Step 6: Final answer
    x = 3,764.87

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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.