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Finding the Fourth Proportional to 14,770.96, 20,391.45 and 11,406.22

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Solution

The fourth proportional to 14,770.96, 20,391.45 and 11,406.22 is: 15,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.96 : 20,391.45 = 11,406.22 : x
  2. Step 2: Convert to fraction form
    14,770.96/20,391.45 = 11,406.22/x
  3. Step 3: Cross multiply
    14,770.96x = 20,391.45 × 11,406.22
  4. Step 4: Simplify right side
    14,770.96x = 232,589,271.07
  5. Step 5: Solve for x
    x = 232,589,271.07/14,770.96
  6. Step 6: Final answer
    x = 15,746.39

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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.