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Finding the Fourth Proportional to 30,986.26, 46,478.98 and 7,612.90

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Solution

The fourth proportional to 30,986.26, 46,478.98 and 7,612.90 is: 11,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.26 : 46,478.98 = 7,612.90 : x
  2. Step 2: Convert to fraction form
    30,986.26/46,478.98 = 7,612.90/x
  3. Step 3: Cross multiply
    30,986.26x = 46,478.98 × 7,612.90
  4. Step 4: Simplify right side
    30,986.26x = 353,839,720.16
  5. Step 5: Solve for x
    x = 353,839,720.16/30,986.26
  6. Step 6: Final answer
    x = 11,419.25

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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.