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Finding the Fourth Proportional to 30,986.61, 46,480.38 and 8,800.03

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Solution

The fourth proportional to 30,986.61, 46,480.38 and 8,800.03 is: 13,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.61 : 46,480.38 = 8,800.03 : x
  2. Step 2: Convert to fraction form
    30,986.61/46,480.38 = 8,800.03/x
  3. Step 3: Cross multiply
    30,986.61x = 46,480.38 × 8,800.03
  4. Step 4: Simplify right side
    30,986.61x = 409,028,738.41
  5. Step 5: Solve for x
    x = 409,028,738.41/30,986.61
  6. Step 6: Final answer
    x = 13,200.18

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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.