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Finding the Fourth Proportional to 31,283.68, 46,923.90 and 7,910.32

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Solution

The fourth proportional to 31,283.68, 46,923.90 and 7,910.32 is: 11,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.68 : 46,923.90 = 7,910.32 : x
  2. Step 2: Convert to fraction form
    31,283.68/46,923.90 = 7,910.32/x
  3. Step 3: Cross multiply
    31,283.68x = 46,923.90 × 7,910.32
  4. Step 4: Simplify right side
    31,283.68x = 371,183,064.65
  5. Step 5: Solve for x
    x = 371,183,064.65/31,283.68
  6. Step 6: Final answer
    x = 11,865.07

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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.