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Finding the Fourth Proportional to 31,253.85, 46,879.16 and 7,880.49

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Solution

The fourth proportional to 31,253.85, 46,879.16 and 7,880.49 is: 11,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,253.85 : 46,879.16 = 7,880.49 : x
  2. Step 2: Convert to fraction form
    31,253.85/46,879.16 = 7,880.49/x
  3. Step 3: Cross multiply
    31,253.85x = 46,879.16 × 7,880.49
  4. Step 4: Simplify right side
    31,253.85x = 369,430,712.19
  5. Step 5: Solve for x
    x = 369,430,712.19/31,253.85
  6. Step 6: Final answer
    x = 11,820.33

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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.