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Finding the Fourth Proportional to 9,911.10, 13,669.49 and 8,777.96

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Solution

The fourth proportional to 9,911.10, 13,669.49 and 8,777.96 is: 12,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.10 : 13,669.49 = 8,777.96 : x
  2. Step 2: Convert to fraction form
    9,911.10/13,669.49 = 8,777.96/x
  3. Step 3: Cross multiply
    9,911.10x = 13,669.49 × 8,777.96
  4. Step 4: Simplify right side
    9,911.10x = 119,990,124.20
  5. Step 5: Solve for x
    x = 119,990,124.20/9,911.10
  6. Step 6: Final answer
    x = 12,106.64

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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.