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Finding the Fourth Proportional to 12,986.32, 17,919.84 and 7,952

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Solution

The fourth proportional to 12,986.32, 17,919.84 and 7,952 is: 10,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.32 : 17,919.84 = 7,952 : x
  2. Step 2: Convert to fraction form
    12,986.32/17,919.84 = 7,952/x
  3. Step 3: Cross multiply
    12,986.32x = 17,919.84 × 7,952
  4. Step 4: Simplify right side
    12,986.32x = 142,498,567.68
  5. Step 5: Solve for x
    x = 142,498,567.68/12,986.32
  6. Step 6: Final answer
    x = 10,972.98

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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.