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Finding the Fourth Proportional to 14,311.40, 19,749.78 and 7,938.44

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Solution

The fourth proportional to 14,311.40, 19,749.78 and 7,938.44 is: 10,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.40 : 19,749.78 = 7,938.44 : x
  2. Step 2: Convert to fraction form
    14,311.40/19,749.78 = 7,938.44/x
  3. Step 3: Cross multiply
    14,311.40x = 19,749.78 × 7,938.44
  4. Step 4: Simplify right side
    14,311.40x = 156,782,443.54
  5. Step 5: Solve for x
    x = 156,782,443.54/14,311.40
  6. Step 6: Final answer
    x = 10,955.07

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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.