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Finding the Fourth Proportional to 14,415.84, 19,893.86 and 8,128.21

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Solution

The fourth proportional to 14,415.84, 19,893.86 and 8,128.21 is: 11,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.84 : 19,893.86 = 8,128.21 : x
  2. Step 2: Convert to fraction form
    14,415.84/19,893.86 = 8,128.21/x
  3. Step 3: Cross multiply
    14,415.84x = 19,893.86 × 8,128.21
  4. Step 4: Simplify right side
    14,415.84x = 161,701,471.79
  5. Step 5: Solve for x
    x = 161,701,471.79/14,415.84
  6. Step 6: Final answer
    x = 11,216.93

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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.