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Finding the Fourth Proportional to 9,715.50, 14,573.38 and 3,051.78

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Solution

The fourth proportional to 9,715.50, 14,573.38 and 3,051.78 is: 4,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.50 : 14,573.38 = 3,051.78 : x
  2. Step 2: Convert to fraction form
    9,715.50/14,573.38 = 3,051.78/x
  3. Step 3: Cross multiply
    9,715.50x = 14,573.38 × 3,051.78
  4. Step 4: Simplify right side
    9,715.50x = 44,474,749.62
  5. Step 5: Solve for x
    x = 44,474,749.62/9,715.50
  6. Step 6: Final answer
    x = 4,577.71

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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.