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Finding the Fourth Proportional to 12,706.80, 19,054.08 and 4,809.12

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Solution

The fourth proportional to 12,706.80, 19,054.08 and 4,809.12 is: 7,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.80 : 19,054.08 = 4,809.12 : x
  2. Step 2: Convert to fraction form
    12,706.80/19,054.08 = 4,809.12/x
  3. Step 3: Cross multiply
    12,706.80x = 19,054.08 × 4,809.12
  4. Step 4: Simplify right side
    12,706.80x = 91,633,357.21
  5. Step 5: Solve for x
    x = 91,633,357.21/12,706.80
  6. Step 6: Final answer
    x = 7,211.36

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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.