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Finding the Fourth Proportional to 1,728.02, 2,384.42 and 1,019.90

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Solution

The fourth proportional to 1,728.02, 2,384.42 and 1,019.90 is: 1,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.02 : 2,384.42 = 1,019.90 : x
  2. Step 2: Convert to fraction form
    1,728.02/2,384.42 = 1,019.90/x
  3. Step 3: Cross multiply
    1,728.02x = 2,384.42 × 1,019.90
  4. Step 4: Simplify right side
    1,728.02x = 2,431,869.96
  5. Step 5: Solve for x
    x = 2,431,869.96/1,728.02
  6. Step 6: Final answer
    x = 1,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.