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Finding the Fourth Proportional to 13,706.64, 18,911.76 and 8,041.92

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Solution

The fourth proportional to 13,706.64, 18,911.76 and 8,041.92 is: 11,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.64 : 18,911.76 = 8,041.92 : x
  2. Step 2: Convert to fraction form
    13,706.64/18,911.76 = 8,041.92/x
  3. Step 3: Cross multiply
    13,706.64x = 18,911.76 × 8,041.92
  4. Step 4: Simplify right side
    13,706.64x = 152,086,860.98
  5. Step 5: Solve for x
    x = 152,086,860.98/13,706.64
  6. Step 6: Final answer
    x = 11,095.85

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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.