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Finding the Fourth Proportional to 12,178.68, 18,267.86 and 6,980.84

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Solution

The fourth proportional to 12,178.68, 18,267.86 and 6,980.84 is: 10,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.68 : 18,267.86 = 6,980.84 : x
  2. Step 2: Convert to fraction form
    12,178.68/18,267.86 = 6,980.84/x
  3. Step 3: Cross multiply
    12,178.68x = 18,267.86 × 6,980.84
  4. Step 4: Simplify right side
    12,178.68x = 127,525,007.80
  5. Step 5: Solve for x
    x = 127,525,007.80/12,178.68
  6. Step 6: Final answer
    x = 10,471.17

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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.