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Finding the Fourth Proportional to 31,171.44, 46,746.18 and 8,978.88

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Solution

The fourth proportional to 31,171.44, 46,746.18 and 8,978.88 is: 13,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.44 : 46,746.18 = 8,978.88 : x
  2. Step 2: Convert to fraction form
    31,171.44/46,746.18 = 8,978.88/x
  3. Step 3: Cross multiply
    31,171.44x = 46,746.18 × 8,978.88
  4. Step 4: Simplify right side
    31,171.44x = 419,728,340.68
  5. Step 5: Solve for x
    x = 419,728,340.68/31,171.44
  6. Step 6: Final answer
    x = 13,465.16

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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.