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Finding the Fourth Proportional to 12,751.74, 19,106.02 and 7,811.07

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Solution

The fourth proportional to 12,751.74, 19,106.02 and 7,811.07 is: 11,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.74 : 19,106.02 = 7,811.07 : x
  2. Step 2: Convert to fraction form
    12,751.74/19,106.02 = 7,811.07/x
  3. Step 3: Cross multiply
    12,751.74x = 19,106.02 × 7,811.07
  4. Step 4: Simplify right side
    12,751.74x = 149,238,397.76
  5. Step 5: Solve for x
    x = 149,238,397.76/12,751.74
  6. Step 6: Final answer
    x = 11,703.38

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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.