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Finding the Fourth Proportional to 8,040.63, 11,950.69 and 7,822.47

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Solution

The fourth proportional to 8,040.63, 11,950.69 and 7,822.47 is: 11,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.63 : 11,950.69 = 7,822.47 : x
  2. Step 2: Convert to fraction form
    8,040.63/11,950.69 = 7,822.47/x
  3. Step 3: Cross multiply
    8,040.63x = 11,950.69 × 7,822.47
  4. Step 4: Simplify right side
    8,040.63x = 93,483,894.45
  5. Step 5: Solve for x
    x = 93,483,894.45/8,040.63
  6. Step 6: Final answer
    x = 11,626.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.