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Finding the Fourth Proportional to 15,811, 21,823.73 and 10,437.36

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Solution

The fourth proportional to 15,811, 21,823.73 and 10,437.36 is: 14,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811 : 21,823.73 = 10,437.36 : x
  2. Step 2: Convert to fraction form
    15,811/21,823.73 = 10,437.36/x
  3. Step 3: Cross multiply
    15,811x = 21,823.73 × 10,437.36
  4. Step 4: Simplify right side
    15,811x = 227,782,126.55
  5. Step 5: Solve for x
    x = 227,782,126.55/15,811
  6. Step 6: Final answer
    x = 14,406.56

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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.