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Finding the Fourth Proportional to 1,384.70, 2,074.01 and 1,090.17

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Solution

The fourth proportional to 1,384.70, 2,074.01 and 1,090.17 is: 1,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.70 : 2,074.01 = 1,090.17 : x
  2. Step 2: Convert to fraction form
    1,384.70/2,074.01 = 1,090.17/x
  3. Step 3: Cross multiply
    1,384.70x = 2,074.01 × 1,090.17
  4. Step 4: Simplify right side
    1,384.70x = 2,261,018.03
  5. Step 5: Solve for x
    x = 2,261,018.03/1,384.70
  6. Step 6: Final answer
    x = 1,632.86

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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.