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Finding the Fourth Proportional to 13,796.70, 19,038.89 and 7,828.25

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Solution

The fourth proportional to 13,796.70, 19,038.89 and 7,828.25 is: 10,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.70 : 19,038.89 = 7,828.25 : x
  2. Step 2: Convert to fraction form
    13,796.70/19,038.89 = 7,828.25/x
  3. Step 3: Cross multiply
    13,796.70x = 19,038.89 × 7,828.25
  4. Step 4: Simplify right side
    13,796.70x = 149,041,190.64
  5. Step 5: Solve for x
    x = 149,041,190.64/13,796.70
  6. Step 6: Final answer
    x = 10,802.67

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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.