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Finding the Fourth Proportional to 12,774.51, 19,158.22 and 5,374.65

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Solution

The fourth proportional to 12,774.51, 19,158.22 and 5,374.65 is: 8,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.51 : 19,158.22 = 5,374.65 : x
  2. Step 2: Convert to fraction form
    12,774.51/19,158.22 = 5,374.65/x
  3. Step 3: Cross multiply
    12,774.51x = 19,158.22 × 5,374.65
  4. Step 4: Simplify right side
    12,774.51x = 102,968,805.68
  5. Step 5: Solve for x
    x = 102,968,805.68/12,774.51
  6. Step 6: Final answer
    x = 8,060.49

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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.