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Finding the Fourth Proportional to 7,775.68, 11,653.44 and 3,156.16

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Solution

The fourth proportional to 7,775.68, 11,653.44 and 3,156.16 is: 4,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.68 : 11,653.44 = 3,156.16 : x
  2. Step 2: Convert to fraction form
    7,775.68/11,653.44 = 3,156.16/x
  3. Step 3: Cross multiply
    7,775.68x = 11,653.44 × 3,156.16
  4. Step 4: Simplify right side
    7,775.68x = 36,780,121.19
  5. Step 5: Solve for x
    x = 36,780,121.19/7,775.68
  6. Step 6: Final answer
    x = 4,730.15

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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.