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Finding the Fourth Proportional to 14,238.41, 19,649.55 and 7,865.33

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Solution

The fourth proportional to 14,238.41, 19,649.55 and 7,865.33 is: 10,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.41 : 19,649.55 = 7,865.33 : x
  2. Step 2: Convert to fraction form
    14,238.41/19,649.55 = 7,865.33/x
  3. Step 3: Cross multiply
    14,238.41x = 19,649.55 × 7,865.33
  4. Step 4: Simplify right side
    14,238.41x = 154,550,126.35
  5. Step 5: Solve for x
    x = 154,550,126.35/14,238.41
  6. Step 6: Final answer
    x = 10,854.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.