Home / 31,159-46,738.60-7,785.44

Finding the Fourth Proportional to 31,159, 46,738.60 and 7,785.44

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Solution

The fourth proportional to 31,159, 46,738.60 and 7,785.44 is: 11,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159 : 46,738.60 = 7,785.44 : x
  2. Step 2: Convert to fraction form
    31,159/46,738.60 = 7,785.44/x
  3. Step 3: Cross multiply
    31,159x = 46,738.60 × 7,785.44
  4. Step 4: Simplify right side
    31,159x = 363,880,565.98
  5. Step 5: Solve for x
    x = 363,880,565.98/31,159
  6. Step 6: Final answer
    x = 11,678.18

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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.