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Finding the Fourth Proportional to 13,958.54, 19,242.86 and 9,978.20

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Solution

The fourth proportional to 13,958.54, 19,242.86 and 9,978.20 is: 13,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.54 : 19,242.86 = 9,978.20 : x
  2. Step 2: Convert to fraction form
    13,958.54/19,242.86 = 9,978.20/x
  3. Step 3: Cross multiply
    13,958.54x = 19,242.86 × 9,978.20
  4. Step 4: Simplify right side
    13,958.54x = 192,009,105.65
  5. Step 5: Solve for x
    x = 192,009,105.65/13,958.54
  6. Step 6: Final answer
    x = 13,755.67

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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.