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Finding the Fourth Proportional to 21,749.50, 30,014.34 and 11,813.50

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Solution

The fourth proportional to 21,749.50, 30,014.34 and 11,813.50 is: 16,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749.50 : 30,014.34 = 11,813.50 : x
  2. Step 2: Convert to fraction form
    21,749.50/30,014.34 = 11,813.50/x
  3. Step 3: Cross multiply
    21,749.50x = 30,014.34 × 11,813.50
  4. Step 4: Simplify right side
    21,749.50x = 354,574,405.59
  5. Step 5: Solve for x
    x = 354,574,405.59/21,749.50
  6. Step 6: Final answer
    x = 16,302.65

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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.