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Finding the Fourth Proportional to 25,604.61, 38,406.92 and 8,075.81

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Solution

The fourth proportional to 25,604.61, 38,406.92 and 8,075.81 is: 12,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604.61 : 38,406.92 = 8,075.81 : x
  2. Step 2: Convert to fraction form
    25,604.61/38,406.92 = 8,075.81/x
  3. Step 3: Cross multiply
    25,604.61x = 38,406.92 × 8,075.81
  4. Step 4: Simplify right side
    25,604.61x = 310,167,004.36
  5. Step 5: Solve for x
    x = 310,167,004.36/25,604.61
  6. Step 6: Final answer
    x = 12,113.71

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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.