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Finding the Fourth Proportional to 1,412.16, 1,946.04 and 1,018.44

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Solution

The fourth proportional to 1,412.16, 1,946.04 and 1,018.44 is: 1,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.16 : 1,946.04 = 1,018.44 : x
  2. Step 2: Convert to fraction form
    1,412.16/1,946.04 = 1,018.44/x
  3. Step 3: Cross multiply
    1,412.16x = 1,946.04 × 1,018.44
  4. Step 4: Simplify right side
    1,412.16x = 1,981,924.98
  5. Step 5: Solve for x
    x = 1,981,924.98/1,412.16
  6. Step 6: Final answer
    x = 1,403.47

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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.