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Finding the Fourth Proportional to 8,721.45, 13,012.94 and 8,102.07

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Solution

The fourth proportional to 8,721.45, 13,012.94 and 8,102.07 is: 12,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.45 : 13,012.94 = 8,102.07 : x
  2. Step 2: Convert to fraction form
    8,721.45/13,012.94 = 8,102.07/x
  3. Step 3: Cross multiply
    8,721.45x = 13,012.94 × 8,102.07
  4. Step 4: Simplify right side
    8,721.45x = 105,431,771.04
  5. Step 5: Solve for x
    x = 105,431,771.04/8,721.45
  6. Step 6: Final answer
    x = 12,088.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.