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Finding the Fourth Proportional to 31,007.80, 46,511.70 and 8,821.90

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Solution

The fourth proportional to 31,007.80, 46,511.70 and 8,821.90 is: 13,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.80 : 46,511.70 = 8,821.90 : x
  2. Step 2: Convert to fraction form
    31,007.80/46,511.70 = 8,821.90/x
  3. Step 3: Cross multiply
    31,007.80x = 46,511.70 × 8,821.90
  4. Step 4: Simplify right side
    31,007.80x = 410,321,566.23
  5. Step 5: Solve for x
    x = 410,321,566.23/31,007.80
  6. Step 6: Final answer
    x = 13,232.85

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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.