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Finding the Fourth Proportional to 8,782.54, 12,112.46 and 7,907.74

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Solution

The fourth proportional to 8,782.54, 12,112.46 and 7,907.74 is: 10,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.54 : 12,112.46 = 7,907.74 : x
  2. Step 2: Convert to fraction form
    8,782.54/12,112.46 = 7,907.74/x
  3. Step 3: Cross multiply
    8,782.54x = 12,112.46 × 7,907.74
  4. Step 4: Simplify right side
    8,782.54x = 95,782,184.44
  5. Step 5: Solve for x
    x = 95,782,184.44/8,782.54
  6. Step 6: Final answer
    x = 10,905.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.