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Finding the Fourth Proportional to 7,907.69, 11,863.58 and 2,978.74

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Solution

The fourth proportional to 7,907.69, 11,863.58 and 2,978.74 is: 4,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.69 : 11,863.58 = 2,978.74 : x
  2. Step 2: Convert to fraction form
    7,907.69/11,863.58 = 2,978.74/x
  3. Step 3: Cross multiply
    7,907.69x = 11,863.58 × 2,978.74
  4. Step 4: Simplify right side
    7,907.69x = 35,338,520.29
  5. Step 5: Solve for x
    x = 35,338,520.29/7,907.69
  6. Step 6: Final answer
    x = 4,468.88

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1.5x scale

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.