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Finding the Fourth Proportional to 7,678.10, 11,502.08 and 3,982.78

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Solution

The fourth proportional to 7,678.10, 11,502.08 and 3,982.78 is: 5,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.10 : 11,502.08 = 3,982.78 : x
  2. Step 2: Convert to fraction form
    7,678.10/11,502.08 = 3,982.78/x
  3. Step 3: Cross multiply
    7,678.10x = 11,502.08 × 3,982.78
  4. Step 4: Simplify right side
    7,678.10x = 45,810,254.18
  5. Step 5: Solve for x
    x = 45,810,254.18/7,678.10
  6. Step 6: Final answer
    x = 5,966.35

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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.