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Finding the Fourth Proportional to 7,564.86, 11,348.73 and 2,947.50

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Solution

The fourth proportional to 7,564.86, 11,348.73 and 2,947.50 is: 4,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.86 : 11,348.73 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    7,564.86/11,348.73 = 2,947.50/x
  3. Step 3: Cross multiply
    7,564.86x = 11,348.73 × 2,947.50
  4. Step 4: Simplify right side
    7,564.86x = 33,450,381.68
  5. Step 5: Solve for x
    x = 33,450,381.68/7,564.86
  6. Step 6: Final answer
    x = 4,421.81

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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.