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Finding the Fourth Proportional to 20,651.40, 28,499.76 and 11,700

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Solution

The fourth proportional to 20,651.40, 28,499.76 and 11,700 is: 16,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.40 : 28,499.76 = 11,700 : x
  2. Step 2: Convert to fraction form
    20,651.40/28,499.76 = 11,700/x
  3. Step 3: Cross multiply
    20,651.40x = 28,499.76 × 11,700
  4. Step 4: Simplify right side
    20,651.40x = 333,447,192
  5. Step 5: Solve for x
    x = 333,447,192/20,651.40
  6. Step 6: Final answer
    x = 16,146.47

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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.