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Finding the Fourth Proportional to 6,361.34, 9,543.22 and 1,978.63

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Solution

The fourth proportional to 6,361.34, 9,543.22 and 1,978.63 is: 2,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.34 : 9,543.22 = 1,978.63 : x
  2. Step 2: Convert to fraction form
    6,361.34/9,543.22 = 1,978.63/x
  3. Step 3: Cross multiply
    6,361.34x = 9,543.22 × 1,978.63
  4. Step 4: Simplify right side
    6,361.34x = 18,882,472.58
  5. Step 5: Solve for x
    x = 18,882,472.58/6,361.34
  6. Step 6: Final answer
    x = 2,968.32

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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.