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Finding the Fourth Proportional to 12,751.84, 19,139.28 and 5,361.76

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Solution

The fourth proportional to 12,751.84, 19,139.28 and 5,361.76 is: 8,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.84 : 19,139.28 = 5,361.76 : x
  2. Step 2: Convert to fraction form
    12,751.84/19,139.28 = 5,361.76/x
  3. Step 3: Cross multiply
    12,751.84x = 19,139.28 × 5,361.76
  4. Step 4: Simplify right side
    12,751.84x = 102,620,225.93
  5. Step 5: Solve for x
    x = 102,620,225.93/12,751.84
  6. Step 6: Final answer
    x = 8,047.48

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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.