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Finding the Fourth Proportional to 7,947, 11,920.50 and 2,475

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Solution

The fourth proportional to 7,947, 11,920.50 and 2,475 is: 3,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947 : 11,920.50 = 2,475 : x
  2. Step 2: Convert to fraction form
    7,947/11,920.50 = 2,475/x
  3. Step 3: Cross multiply
    7,947x = 11,920.50 × 2,475
  4. Step 4: Simplify right side
    7,947x = 29,503,237.50
  5. Step 5: Solve for x
    x = 29,503,237.50/7,947
  6. Step 6: Final answer
    x = 3,712.50

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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.