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Finding the Fourth Proportional to 8,510.70, 12,768.05 and 8,369.50

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Solution

The fourth proportional to 8,510.70, 12,768.05 and 8,369.50 is: 12,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.70 : 12,768.05 = 8,369.50 : x
  2. Step 2: Convert to fraction form
    8,510.70/12,768.05 = 8,369.50/x
  3. Step 3: Cross multiply
    8,510.70x = 12,768.05 × 8,369.50
  4. Step 4: Simplify right side
    8,510.70x = 106,862,194.48
  5. Step 5: Solve for x
    x = 106,862,194.48/8,510.70
  6. Step 6: Final answer
    x = 12,556.22

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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.