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Finding the Fourth Proportional to 12,840.25, 19,262 and 4,408.40

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Solution

The fourth proportional to 12,840.25, 19,262 and 4,408.40 is: 6,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.25 : 19,262 = 4,408.40 : x
  2. Step 2: Convert to fraction form
    12,840.25/19,262 = 4,408.40/x
  3. Step 3: Cross multiply
    12,840.25x = 19,262 × 4,408.40
  4. Step 4: Simplify right side
    12,840.25x = 84,914,600.80
  5. Step 5: Solve for x
    x = 84,914,600.80/12,840.25
  6. Step 6: Final answer
    x = 6,613.16

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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.