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Finding the Fourth Proportional to 30,648.78, 46,050.93 and 28,584.90

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Solution

The fourth proportional to 30,648.78, 46,050.93 and 28,584.90 is: 42,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.78 : 46,050.93 = 28,584.90 : x
  2. Step 2: Convert to fraction form
    30,648.78/46,050.93 = 28,584.90/x
  3. Step 3: Cross multiply
    30,648.78x = 46,050.93 × 28,584.90
  4. Step 4: Simplify right side
    30,648.78x = 1,316,361,228.96
  5. Step 5: Solve for x
    x = 1,316,361,228.96/30,648.78
  6. Step 6: Final answer
    x = 42,949.87

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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.