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Finding the Fourth Proportional to 31,012.56, 46,519.02 and 7,638.84

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Solution

The fourth proportional to 31,012.56, 46,519.02 and 7,638.84 is: 11,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.56 : 46,519.02 = 7,638.84 : x
  2. Step 2: Convert to fraction form
    31,012.56/46,519.02 = 7,638.84/x
  3. Step 3: Cross multiply
    31,012.56x = 46,519.02 × 7,638.84
  4. Step 4: Simplify right side
    31,012.56x = 355,351,350.74
  5. Step 5: Solve for x
    x = 355,351,350.74/31,012.56
  6. Step 6: Final answer
    x = 11,458.30

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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.