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Finding the Fourth Proportional to 4,533.80, 6,800.64 and 1,455.80

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Solution

The fourth proportional to 4,533.80, 6,800.64 and 1,455.80 is: 2,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.80 : 6,800.64 = 1,455.80 : x
  2. Step 2: Convert to fraction form
    4,533.80/6,800.64 = 1,455.80/x
  3. Step 3: Cross multiply
    4,533.80x = 6,800.64 × 1,455.80
  4. Step 4: Simplify right side
    4,533.80x = 9,900,371.71
  5. Step 5: Solve for x
    x = 9,900,371.71/4,533.80
  6. Step 6: Final answer
    x = 2,183.68

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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.