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Finding the Fourth Proportional to 6,261.81, 9,380.16 and 2,978.07

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Solution

The fourth proportional to 6,261.81, 9,380.16 and 2,978.07 is: 4,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.81 : 9,380.16 = 2,978.07 : x
  2. Step 2: Convert to fraction form
    6,261.81/9,380.16 = 2,978.07/x
  3. Step 3: Cross multiply
    6,261.81x = 9,380.16 × 2,978.07
  4. Step 4: Simplify right side
    6,261.81x = 27,934,773.09
  5. Step 5: Solve for x
    x = 27,934,773.09/6,261.81
  6. Step 6: Final answer
    x = 4,461.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.