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Finding the Fourth Proportional to 6,361.71, 9,544.04 and 1,978.93

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Solution

The fourth proportional to 6,361.71, 9,544.04 and 1,978.93 is: 2,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.71 : 9,544.04 = 1,978.93 : x
  2. Step 2: Convert to fraction form
    6,361.71/9,544.04 = 1,978.93/x
  3. Step 3: Cross multiply
    6,361.71x = 9,544.04 × 1,978.93
  4. Step 4: Simplify right side
    6,361.71x = 18,886,987.08
  5. Step 5: Solve for x
    x = 18,886,987.08/6,361.71
  6. Step 6: Final answer
    x = 2,968.85

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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.