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Finding the Fourth Proportional to 28,722.16, 43,065.96 and 10,954

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Solution

The fourth proportional to 28,722.16, 43,065.96 and 10,954 is: 16,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,722.16 : 43,065.96 = 10,954 : x
  2. Step 2: Convert to fraction form
    28,722.16/43,065.96 = 10,954/x
  3. Step 3: Cross multiply
    28,722.16x = 43,065.96 × 10,954
  4. Step 4: Simplify right side
    28,722.16x = 471,744,525.84
  5. Step 5: Solve for x
    x = 471,744,525.84/28,722.16
  6. Step 6: Final answer
    x = 16,424.41

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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.