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Finding the Fourth Proportional to 7,144.96, 9,845.44 and 6,435.52

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Solution

The fourth proportional to 7,144.96, 9,845.44 and 6,435.52 is: 8,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.96 : 9,845.44 = 6,435.52 : x
  2. Step 2: Convert to fraction form
    7,144.96/9,845.44 = 6,435.52/x
  3. Step 3: Cross multiply
    7,144.96x = 9,845.44 × 6,435.52
  4. Step 4: Simplify right side
    7,144.96x = 63,360,526.03
  5. Step 5: Solve for x
    x = 63,360,526.03/7,144.96
  6. Step 6: Final answer
    x = 8,867.86

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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.