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Finding the Fourth Proportional to 12,726.64, 19,074.97 and 7,464.21

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Solution

The fourth proportional to 12,726.64, 19,074.97 and 7,464.21 is: 11,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.64 : 19,074.97 = 7,464.21 : x
  2. Step 2: Convert to fraction form
    12,726.64/19,074.97 = 7,464.21/x
  3. Step 3: Cross multiply
    12,726.64x = 19,074.97 × 7,464.21
  4. Step 4: Simplify right side
    12,726.64x = 142,379,581.82
  5. Step 5: Solve for x
    x = 142,379,581.82/12,726.64
  6. Step 6: Final answer
    x = 11,187.52

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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.