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Finding the Fourth Proportional to 14,221.16, 19,631.48 and 9,187.82

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Solution

The fourth proportional to 14,221.16, 19,631.48 and 9,187.82 is: 12,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.16 : 19,631.48 = 9,187.82 : x
  2. Step 2: Convert to fraction form
    14,221.16/19,631.48 = 9,187.82/x
  3. Step 3: Cross multiply
    14,221.16x = 19,631.48 × 9,187.82
  4. Step 4: Simplify right side
    14,221.16x = 180,370,504.57
  5. Step 5: Solve for x
    x = 180,370,504.57/14,221.16
  6. Step 6: Final answer
    x = 12,683.25

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Why These Related Problems?

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