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Finding the Fourth Proportional to 14,314, 21,472.08 and 5,080

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Solution

The fourth proportional to 14,314, 21,472.08 and 5,080 is: 7,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314 : 21,472.08 = 5,080 : x
  2. Step 2: Convert to fraction form
    14,314/21,472.08 = 5,080/x
  3. Step 3: Cross multiply
    14,314x = 21,472.08 × 5,080
  4. Step 4: Simplify right side
    14,314x = 109,078,166.40
  5. Step 5: Solve for x
    x = 109,078,166.40/14,314
  6. Step 6: Final answer
    x = 7,620.38

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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.