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Finding the Fourth Proportional to 8,726.94, 12,038.09 and 8,143.74

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Solution

The fourth proportional to 8,726.94, 12,038.09 and 8,143.74 is: 11,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.94 : 12,038.09 = 8,143.74 : x
  2. Step 2: Convert to fraction form
    8,726.94/12,038.09 = 8,143.74/x
  3. Step 3: Cross multiply
    8,726.94x = 12,038.09 × 8,143.74
  4. Step 4: Simplify right side
    8,726.94x = 98,035,034.34
  5. Step 5: Solve for x
    x = 98,035,034.34/8,726.94
  6. Step 6: Final answer
    x = 11,233.61

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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.