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Finding the Fourth Proportional to 10,011.96, 13,809 and 8,878.96

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Solution

The fourth proportional to 10,011.96, 13,809 and 8,878.96 is: 12,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.96 : 13,809 = 8,878.96 : x
  2. Step 2: Convert to fraction form
    10,011.96/13,809 = 8,878.96/x
  3. Step 3: Cross multiply
    10,011.96x = 13,809 × 8,878.96
  4. Step 4: Simplify right side
    10,011.96x = 122,609,558.64
  5. Step 5: Solve for x
    x = 122,609,558.64/10,011.96
  6. Step 6: Final answer
    x = 12,246.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.