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Finding the Fourth Proportional to 31,280.40, 46,920.76 and 7,906.86

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Solution

The fourth proportional to 31,280.40, 46,920.76 and 7,906.86 is: 11,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280.40 : 46,920.76 = 7,906.86 : x
  2. Step 2: Convert to fraction form
    31,280.40/46,920.76 = 7,906.86/x
  3. Step 3: Cross multiply
    31,280.40x = 46,920.76 × 7,906.86
  4. Step 4: Simplify right side
    31,280.40x = 370,995,880.41
  5. Step 5: Solve for x
    x = 370,995,880.41/31,280.40
  6. Step 6: Final answer
    x = 11,860.33

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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.