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Finding the Fourth Proportional to 30,969.96, 46,447.92 and 8,778.24

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Solution

The fourth proportional to 30,969.96, 46,447.92 and 8,778.24 is: 13,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.96 : 46,447.92 = 8,778.24 : x
  2. Step 2: Convert to fraction form
    30,969.96/46,447.92 = 8,778.24/x
  3. Step 3: Cross multiply
    30,969.96x = 46,447.92 × 8,778.24
  4. Step 4: Simplify right side
    30,969.96x = 407,730,989.26
  5. Step 5: Solve for x
    x = 407,730,989.26/30,969.96
  6. Step 6: Final answer
    x = 13,165.37

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1.5x scale

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.