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Finding the Fourth Proportional to 12,804.65, 19,215.15 and 6,227.25

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Solution

The fourth proportional to 12,804.65, 19,215.15 and 6,227.25 is: 9,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.65 : 19,215.15 = 6,227.25 : x
  2. Step 2: Convert to fraction form
    12,804.65/19,215.15 = 6,227.25/x
  3. Step 3: Cross multiply
    12,804.65x = 19,215.15 × 6,227.25
  4. Step 4: Simplify right side
    12,804.65x = 119,657,447.43
  5. Step 5: Solve for x
    x = 119,657,447.43/12,804.65
  6. Step 6: Final answer
    x = 9,344.84

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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.