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Finding the Fourth Proportional to 12,696.77, 19,038.04 and 8,698.67

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Solution

The fourth proportional to 12,696.77, 19,038.04 and 8,698.67 is: 13,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.77 : 19,038.04 = 8,698.67 : x
  2. Step 2: Convert to fraction form
    12,696.77/19,038.04 = 8,698.67/x
  3. Step 3: Cross multiply
    12,696.77x = 19,038.04 × 8,698.67
  4. Step 4: Simplify right side
    12,696.77x = 165,605,627.41
  5. Step 5: Solve for x
    x = 165,605,627.41/12,696.77
  6. Step 6: Final answer
    x = 13,043.13

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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.