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Finding the Fourth Proportional to 1,428.48, 1,972.49 and 1,008.90

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Solution

The fourth proportional to 1,428.48, 1,972.49 and 1,008.90 is: 1,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.48 : 1,972.49 = 1,008.90 : x
  2. Step 2: Convert to fraction form
    1,428.48/1,972.49 = 1,008.90/x
  3. Step 3: Cross multiply
    1,428.48x = 1,972.49 × 1,008.90
  4. Step 4: Simplify right side
    1,428.48x = 1,990,040.12
  5. Step 5: Solve for x
    x = 1,990,040.12/1,428.48
  6. Step 6: Final answer
    x = 1,393.12

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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.