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Finding the Fourth Proportional to 18,384, 25,369.95 and 10,000.50

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Solution

The fourth proportional to 18,384, 25,369.95 and 10,000.50 is: 13,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 25,369.95 = 10,000.50 : x
  2. Step 2: Convert to fraction form
    18,384/25,369.95 = 10,000.50/x
  3. Step 3: Cross multiply
    18,384x = 25,369.95 × 10,000.50
  4. Step 4: Simplify right side
    18,384x = 253,712,184.98
  5. Step 5: Solve for x
    x = 253,712,184.98/18,384
  6. Step 6: Final answer
    x = 13,800.71

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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.