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Finding the Fourth Proportional to 13,378.16, 18,466 and 7,716.72

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Solution

The fourth proportional to 13,378.16, 18,466 and 7,716.72 is: 10,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.16 : 18,466 = 7,716.72 : x
  2. Step 2: Convert to fraction form
    13,378.16/18,466 = 7,716.72/x
  3. Step 3: Cross multiply
    13,378.16x = 18,466 × 7,716.72
  4. Step 4: Simplify right side
    13,378.16x = 142,496,951.52
  5. Step 5: Solve for x
    x = 142,496,951.52/13,378.16
  6. Step 6: Final answer
    x = 10,651.46

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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.