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Finding the Fourth Proportional to 30,950.76, 46,380.78 and 19,228.44

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Solution

The fourth proportional to 30,950.76, 46,380.78 and 19,228.44 is: 28,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.76 : 46,380.78 = 19,228.44 : x
  2. Step 2: Convert to fraction form
    30,950.76/46,380.78 = 19,228.44/x
  3. Step 3: Cross multiply
    30,950.76x = 46,380.78 × 19,228.44
  4. Step 4: Simplify right side
    30,950.76x = 891,830,045.38
  5. Step 5: Solve for x
    x = 891,830,045.38/30,950.76
  6. Step 6: Final answer
    x = 28,814.48

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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.