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Finding the Fourth Proportional to 13,857.84, 20,809.80 and 13,750.32

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Solution

The fourth proportional to 13,857.84, 20,809.80 and 13,750.32 is: 20,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.84 : 20,809.80 = 13,750.32 : x
  2. Step 2: Convert to fraction form
    13,857.84/20,809.80 = 13,750.32/x
  3. Step 3: Cross multiply
    13,857.84x = 20,809.80 × 13,750.32
  4. Step 4: Simplify right side
    13,857.84x = 286,141,409.14
  5. Step 5: Solve for x
    x = 286,141,409.14/13,857.84
  6. Step 6: Final answer
    x = 20,648.34

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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.