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Finding the Fourth Proportional to 14,551.76, 20,090.76 and 8,966

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Solution

The fourth proportional to 14,551.76, 20,090.76 and 8,966 is: 12,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.76 : 20,090.76 = 8,966 : x
  2. Step 2: Convert to fraction form
    14,551.76/20,090.76 = 8,966/x
  3. Step 3: Cross multiply
    14,551.76x = 20,090.76 × 8,966
  4. Step 4: Simplify right side
    14,551.76x = 180,133,754.16
  5. Step 5: Solve for x
    x = 180,133,754.16/14,551.76
  6. Step 6: Final answer
    x = 12,378.83

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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.