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Finding the Fourth Proportional to 8,119.45, 12,206.97 and 7,510.74

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Solution

The fourth proportional to 8,119.45, 12,206.97 and 7,510.74 is: 11,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.45 : 12,206.97 = 7,510.74 : x
  2. Step 2: Convert to fraction form
    8,119.45/12,206.97 = 7,510.74/x
  3. Step 3: Cross multiply
    8,119.45x = 12,206.97 × 7,510.74
  4. Step 4: Simplify right side
    8,119.45x = 91,683,332.08
  5. Step 5: Solve for x
    x = 91,683,332.08/8,119.45
  6. Step 6: Final answer
    x = 11,291.81

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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.