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Finding the Fourth Proportional to 13,917.84, 20,900.28 and 13,810.32

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Solution

The fourth proportional to 13,917.84, 20,900.28 and 13,810.32 is: 20,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.84 : 20,900.28 = 13,810.32 : x
  2. Step 2: Convert to fraction form
    13,917.84/20,900.28 = 13,810.32/x
  3. Step 3: Cross multiply
    13,917.84x = 20,900.28 × 13,810.32
  4. Step 4: Simplify right side
    13,917.84x = 288,639,554.89
  5. Step 5: Solve for x
    x = 288,639,554.89/13,917.84
  6. Step 6: Final answer
    x = 20,738.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.