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Finding the Fourth Proportional to 18,658, 25,748.04 and 10,274.50

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Solution

The fourth proportional to 18,658, 25,748.04 and 10,274.50 is: 14,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658 : 25,748.04 = 10,274.50 : x
  2. Step 2: Convert to fraction form
    18,658/25,748.04 = 10,274.50/x
  3. Step 3: Cross multiply
    18,658x = 25,748.04 × 10,274.50
  4. Step 4: Simplify right side
    18,658x = 264,548,236.98
  5. Step 5: Solve for x
    x = 264,548,236.98/18,658
  6. Step 6: Final answer
    x = 14,178.81

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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.