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Finding the Fourth Proportional to 30,693.48, 46,009.20 and 11,961.84

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Solution

The fourth proportional to 30,693.48, 46,009.20 and 11,961.84 is: 17,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.48 : 46,009.20 = 11,961.84 : x
  2. Step 2: Convert to fraction form
    30,693.48/46,009.20 = 11,961.84/x
  3. Step 3: Cross multiply
    30,693.48x = 46,009.20 × 11,961.84
  4. Step 4: Simplify right side
    30,693.48x = 550,354,688.93
  5. Step 5: Solve for x
    x = 550,354,688.93/30,693.48
  6. Step 6: Final answer
    x = 17,930.67

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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.