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Finding the Fourth Proportional to 6,361.68, 9,543.72 and 1,978.14

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Solution

The fourth proportional to 6,361.68, 9,543.72 and 1,978.14 is: 2,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.68 : 9,543.72 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    6,361.68/9,543.72 = 1,978.14/x
  3. Step 3: Cross multiply
    6,361.68x = 9,543.72 × 1,978.14
  4. Step 4: Simplify right side
    6,361.68x = 18,878,814.28
  5. Step 5: Solve for x
    x = 18,878,814.28/6,361.68
  6. Step 6: Final answer
    x = 2,967.58

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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.