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Finding the Fourth Proportional to 12,686.63, 19,029.95 and 8,013.74

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Solution

The fourth proportional to 12,686.63, 19,029.95 and 8,013.74 is: 12,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.63 : 19,029.95 = 8,013.74 : x
  2. Step 2: Convert to fraction form
    12,686.63/19,029.95 = 8,013.74/x
  3. Step 3: Cross multiply
    12,686.63x = 19,029.95 × 8,013.74
  4. Step 4: Simplify right side
    12,686.63x = 152,500,936.29
  5. Step 5: Solve for x
    x = 152,500,936.29/12,686.63
  6. Step 6: Final answer
    x = 12,020.61

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1.5x scale

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.