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Finding the Fourth Proportional to 6,361.29, 9,538.90 and 1,978.79

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Solution

The fourth proportional to 6,361.29, 9,538.90 and 1,978.79 is: 2,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.29 : 9,538.90 = 1,978.79 : x
  2. Step 2: Convert to fraction form
    6,361.29/9,538.90 = 1,978.79/x
  3. Step 3: Cross multiply
    6,361.29x = 9,538.90 × 1,978.79
  4. Step 4: Simplify right side
    6,361.29x = 18,875,427.29
  5. Step 5: Solve for x
    x = 18,875,427.29/6,361.29
  6. Step 6: Final answer
    x = 2,967.23

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1.5x scale

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.