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Finding the Fourth Proportional to 6,978.37, 9,611.43 and 6,452.86

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Solution

The fourth proportional to 6,978.37, 9,611.43 and 6,452.86 is: 8,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.37 : 9,611.43 = 6,452.86 : x
  2. Step 2: Convert to fraction form
    6,978.37/9,611.43 = 6,452.86/x
  3. Step 3: Cross multiply
    6,978.37x = 9,611.43 × 6,452.86
  4. Step 4: Simplify right side
    6,978.37x = 62,021,212.19
  5. Step 5: Solve for x
    x = 62,021,212.19/6,978.37
  6. Step 6: Final answer
    x = 8,887.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.