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Finding the Fourth Proportional to 14,761.84, 20,399.16 and 11,642.80

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Solution

The fourth proportional to 14,761.84, 20,399.16 and 11,642.80 is: 16,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.84 : 20,399.16 = 11,642.80 : x
  2. Step 2: Convert to fraction form
    14,761.84/20,399.16 = 11,642.80/x
  3. Step 3: Cross multiply
    14,761.84x = 20,399.16 × 11,642.80
  4. Step 4: Simplify right side
    14,761.84x = 237,503,340.05
  5. Step 5: Solve for x
    x = 237,503,340.05/14,761.84
  6. Step 6: Final answer
    x = 16,089.01

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1.5x scale

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.