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Finding the Fourth Proportional to 7,786.77, 11,681.40 and 3,106.77

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Solution

The fourth proportional to 7,786.77, 11,681.40 and 3,106.77 is: 4,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.77 : 11,681.40 = 3,106.77 : x
  2. Step 2: Convert to fraction form
    7,786.77/11,681.40 = 3,106.77/x
  3. Step 3: Cross multiply
    7,786.77x = 11,681.40 × 3,106.77
  4. Step 4: Simplify right side
    7,786.77x = 36,291,423.08
  5. Step 5: Solve for x
    x = 36,291,423.08/7,786.77
  6. Step 6: Final answer
    x = 4,660.65

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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.