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Finding the Fourth Proportional to 14,063.76, 19,408.38 and 7,776.54

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Solution

The fourth proportional to 14,063.76, 19,408.38 and 7,776.54 is: 10,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,063.76 : 19,408.38 = 7,776.54 : x
  2. Step 2: Convert to fraction form
    14,063.76/19,408.38 = 7,776.54/x
  3. Step 3: Cross multiply
    14,063.76x = 19,408.38 × 7,776.54
  4. Step 4: Simplify right side
    14,063.76x = 150,930,043.41
  5. Step 5: Solve for x
    x = 150,930,043.41/14,063.76
  6. Step 6: Final answer
    x = 10,731.84

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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.