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Finding the Fourth Proportional to 30,878.52, 46,317.80 and 7,504.80

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Solution

The fourth proportional to 30,878.52, 46,317.80 and 7,504.80 is: 11,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.52 : 46,317.80 = 7,504.80 : x
  2. Step 2: Convert to fraction form
    30,878.52/46,317.80 = 7,504.80/x
  3. Step 3: Cross multiply
    30,878.52x = 46,317.80 × 7,504.80
  4. Step 4: Simplify right side
    30,878.52x = 347,605,825.44
  5. Step 5: Solve for x
    x = 347,605,825.44/30,878.52
  6. Step 6: Final answer
    x = 11,257.20

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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.