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Finding the Fourth Proportional to 14,213.16, 21,301.16 and 7,631.64

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Solution

The fourth proportional to 14,213.16, 21,301.16 and 7,631.64 is: 11,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.16 : 21,301.16 = 7,631.64 : x
  2. Step 2: Convert to fraction form
    14,213.16/21,301.16 = 7,631.64/x
  3. Step 3: Cross multiply
    14,213.16x = 21,301.16 × 7,631.64
  4. Step 4: Simplify right side
    14,213.16x = 162,562,784.70
  5. Step 5: Solve for x
    x = 162,562,784.70/14,213.16
  6. Step 6: Final answer
    x = 11,437.48

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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.