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Finding the Fourth Proportional to 30,877.12, 46,315.32 and 7,503.58

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Solution

The fourth proportional to 30,877.12, 46,315.32 and 7,503.58 is: 11,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.12 : 46,315.32 = 7,503.58 : x
  2. Step 2: Convert to fraction form
    30,877.12/46,315.32 = 7,503.58/x
  3. Step 3: Cross multiply
    30,877.12x = 46,315.32 × 7,503.58
  4. Step 4: Simplify right side
    30,877.12x = 347,530,708.85
  5. Step 5: Solve for x
    x = 347,530,708.85/30,877.12
  6. Step 6: Final answer
    x = 11,255.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.