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Finding the Fourth Proportional to 14,866.39, 20,516.56 and 9,821.76

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Solution

The fourth proportional to 14,866.39, 20,516.56 and 9,821.76 is: 13,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.39 : 20,516.56 = 9,821.76 : x
  2. Step 2: Convert to fraction form
    14,866.39/20,516.56 = 9,821.76/x
  3. Step 3: Cross multiply
    14,866.39x = 20,516.56 × 9,821.76
  4. Step 4: Simplify right side
    14,866.39x = 201,508,720.57
  5. Step 5: Solve for x
    x = 201,508,720.57/14,866.39
  6. Step 6: Final answer
    x = 13,554.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.