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Finding the Fourth Proportional to 1,447.92, 1,998 and 1,007.28

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Solution

The fourth proportional to 1,447.92, 1,998 and 1,007.28 is: 1,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.92 : 1,998 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    1,447.92/1,998 = 1,007.28/x
  3. Step 3: Cross multiply
    1,447.92x = 1,998 × 1,007.28
  4. Step 4: Simplify right side
    1,447.92x = 2,012,545.44
  5. Step 5: Solve for x
    x = 2,012,545.44/1,447.92
  6. Step 6: Final answer
    x = 1,389.96

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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.