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Finding the Fourth Proportional to 2,981.21, 4,471.31 and 790.16

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Solution

The fourth proportional to 2,981.21, 4,471.31 and 790.16 is: 1,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.21 : 4,471.31 = 790.16 : x
  2. Step 2: Convert to fraction form
    2,981.21/4,471.31 = 790.16/x
  3. Step 3: Cross multiply
    2,981.21x = 4,471.31 × 790.16
  4. Step 4: Simplify right side
    2,981.21x = 3,533,057.54
  5. Step 5: Solve for x
    x = 3,533,057.54/2,981.21
  6. Step 6: Final answer
    x = 1,185.11

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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.