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Finding the Fourth Proportional to 6,371.80, 9,538.80 and 4,735.60

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Solution

The fourth proportional to 6,371.80, 9,538.80 and 4,735.60 is: 7,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.80 : 9,538.80 = 4,735.60 : x
  2. Step 2: Convert to fraction form
    6,371.80/9,538.80 = 4,735.60/x
  3. Step 3: Cross multiply
    6,371.80x = 9,538.80 × 4,735.60
  4. Step 4: Simplify right side
    6,371.80x = 45,171,941.28
  5. Step 5: Solve for x
    x = 45,171,941.28/6,371.80
  6. Step 6: Final answer
    x = 7,089.35

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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.