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Finding the Fourth Proportional to 1,443, 2,160.96 and 1,406.28

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Solution

The fourth proportional to 1,443, 2,160.96 and 1,406.28 is: 2,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443 : 2,160.96 = 1,406.28 : x
  2. Step 2: Convert to fraction form
    1,443/2,160.96 = 1,406.28/x
  3. Step 3: Cross multiply
    1,443x = 2,160.96 × 1,406.28
  4. Step 4: Simplify right side
    1,443x = 3,038,914.83
  5. Step 5: Solve for x
    x = 3,038,914.83/1,443
  6. Step 6: Final answer
    x = 2,105.97

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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.