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Finding the Fourth Proportional to 30,420.54, 41,980.28 and 16,991.82

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Solution

The fourth proportional to 30,420.54, 41,980.28 and 16,991.82 is: 23,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.54 : 41,980.28 = 16,991.82 : x
  2. Step 2: Convert to fraction form
    30,420.54/41,980.28 = 16,991.82/x
  3. Step 3: Cross multiply
    30,420.54x = 41,980.28 × 16,991.82
  4. Step 4: Simplify right side
    30,420.54x = 713,321,276.35
  5. Step 5: Solve for x
    x = 713,321,276.35/30,420.54
  6. Step 6: Final answer
    x = 23,448.67

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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.