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Finding the Fourth Proportional to 11,305.96, 16,952.72 and 8,980.85

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Solution

The fourth proportional to 11,305.96, 16,952.72 and 8,980.85 is: 13,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.96 : 16,952.72 = 8,980.85 : x
  2. Step 2: Convert to fraction form
    11,305.96/16,952.72 = 8,980.85/x
  3. Step 3: Cross multiply
    11,305.96x = 16,952.72 × 8,980.85
  4. Step 4: Simplify right side
    11,305.96x = 152,249,812.96
  5. Step 5: Solve for x
    x = 152,249,812.96/11,305.96
  6. Step 6: Final answer
    x = 13,466.34

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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.