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Finding the Fourth Proportional to 10,378, 14,321.64 and 5,662.38

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Solution

The fourth proportional to 10,378, 14,321.64 and 5,662.38 is: 7,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378 : 14,321.64 = 5,662.38 : x
  2. Step 2: Convert to fraction form
    10,378/14,321.64 = 5,662.38/x
  3. Step 3: Cross multiply
    10,378x = 14,321.64 × 5,662.38
  4. Step 4: Simplify right side
    10,378x = 81,094,567.90
  5. Step 5: Solve for x
    x = 81,094,567.90/10,378
  6. Step 6: Final answer
    x = 7,814.08

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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.