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Finding the Fourth Proportional to 14,101.74, 21,148.93 and 4,238.38

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Solution

The fourth proportional to 14,101.74, 21,148.93 and 4,238.38 is: 6,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.74 : 21,148.93 = 4,238.38 : x
  2. Step 2: Convert to fraction form
    14,101.74/21,148.93 = 4,238.38/x
  3. Step 3: Cross multiply
    14,101.74x = 21,148.93 × 4,238.38
  4. Step 4: Simplify right side
    14,101.74x = 89,637,201.93
  5. Step 5: Solve for x
    x = 89,637,201.93/14,101.74
  6. Step 6: Final answer
    x = 6,356.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.