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Finding the Fourth Proportional to 7,051, 10,576.50 and 2,947

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Solution

The fourth proportional to 7,051, 10,576.50 and 2,947 is: 4,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051 : 10,576.50 = 2,947 : x
  2. Step 2: Convert to fraction form
    7,051/10,576.50 = 2,947/x
  3. Step 3: Cross multiply
    7,051x = 10,576.50 × 2,947
  4. Step 4: Simplify right side
    7,051x = 31,168,945.50
  5. Step 5: Solve for x
    x = 31,168,945.50/7,051
  6. Step 6: Final answer
    x = 4,420.50

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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.