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Finding the Fourth Proportional to 3,022.31, 4,533.62 and 830.99

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Solution

The fourth proportional to 3,022.31, 4,533.62 and 830.99 is: 1,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.31 : 4,533.62 = 830.99 : x
  2. Step 2: Convert to fraction form
    3,022.31/4,533.62 = 830.99/x
  3. Step 3: Cross multiply
    3,022.31x = 4,533.62 × 830.99
  4. Step 4: Simplify right side
    3,022.31x = 3,767,366.06
  5. Step 5: Solve for x
    x = 3,767,366.06/3,022.31
  6. Step 6: Final answer
    x = 1,246.52

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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.