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Finding the Fourth Proportional to 2,980.73, 4,473.30 and 1,420.73

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Solution

The fourth proportional to 2,980.73, 4,473.30 and 1,420.73 is: 2,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.73 : 4,473.30 = 1,420.73 : x
  2. Step 2: Convert to fraction form
    2,980.73/4,473.30 = 1,420.73/x
  3. Step 3: Cross multiply
    2,980.73x = 4,473.30 × 1,420.73
  4. Step 4: Simplify right side
    2,980.73x = 6,355,351.51
  5. Step 5: Solve for x
    x = 6,355,351.51/2,980.73
  6. Step 6: Final answer
    x = 2,132.15

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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.