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Finding the Fourth Proportional to 4,629.28, 6,947 and 4,321.74

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Solution

The fourth proportional to 4,629.28, 6,947 and 4,321.74 is: 6,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.28 : 6,947 = 4,321.74 : x
  2. Step 2: Convert to fraction form
    4,629.28/6,947 = 4,321.74/x
  3. Step 3: Cross multiply
    4,629.28x = 6,947 × 4,321.74
  4. Step 4: Simplify right side
    4,629.28x = 30,023,127.78
  5. Step 5: Solve for x
    x = 30,023,127.78/4,629.28
  6. Step 6: Final answer
    x = 6,485.49

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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.