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Finding the Fourth Proportional to 16,314, 22,515.24 and 9,690

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Solution

The fourth proportional to 16,314, 22,515.24 and 9,690 is: 13,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314 : 22,515.24 = 9,690 : x
  2. Step 2: Convert to fraction form
    16,314/22,515.24 = 9,690/x
  3. Step 3: Cross multiply
    16,314x = 22,515.24 × 9,690
  4. Step 4: Simplify right side
    16,314x = 218,172,675.60
  5. Step 5: Solve for x
    x = 218,172,675.60/16,314
  6. Step 6: Final answer
    x = 13,373.34

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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.