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Finding the Fourth Proportional to 13,705.71, 20,438.22 and 13,580.97

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Solution

The fourth proportional to 13,705.71, 20,438.22 and 13,580.97 is: 20,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.71 : 20,438.22 = 13,580.97 : x
  2. Step 2: Convert to fraction form
    13,705.71/20,438.22 = 13,580.97/x
  3. Step 3: Cross multiply
    13,705.71x = 20,438.22 × 13,580.97
  4. Step 4: Simplify right side
    13,705.71x = 277,570,852.67
  5. Step 5: Solve for x
    x = 277,570,852.67/13,705.71
  6. Step 6: Final answer
    x = 20,252.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.