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Finding the Fourth Proportional to 7,543, 11,315.46 and 2,071

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Solution

The fourth proportional to 7,543, 11,315.46 and 2,071 is: 3,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543 : 11,315.46 = 2,071 : x
  2. Step 2: Convert to fraction form
    7,543/11,315.46 = 2,071/x
  3. Step 3: Cross multiply
    7,543x = 11,315.46 × 2,071
  4. Step 4: Simplify right side
    7,543x = 23,434,317.66
  5. Step 5: Solve for x
    x = 23,434,317.66/7,543
  6. Step 6: Final answer
    x = 3,106.76

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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.