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Finding the Fourth Proportional to 12,065.64, 16,620.84 and 10,491

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Solution

The fourth proportional to 12,065.64, 16,620.84 and 10,491 is: 14,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.64 : 16,620.84 = 10,491 : x
  2. Step 2: Convert to fraction form
    12,065.64/16,620.84 = 10,491/x
  3. Step 3: Cross multiply
    12,065.64x = 16,620.84 × 10,491
  4. Step 4: Simplify right side
    12,065.64x = 174,369,232.44
  5. Step 5: Solve for x
    x = 174,369,232.44/12,065.64
  6. Step 6: Final answer
    x = 14,451.72

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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.