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Finding the Fourth Proportional to 11,706.86, 16,173.65 and 9,815.51

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Solution

The fourth proportional to 11,706.86, 16,173.65 and 9,815.51 is: 13,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.86 : 16,173.65 = 9,815.51 : x
  2. Step 2: Convert to fraction form
    11,706.86/16,173.65 = 9,815.51/x
  3. Step 3: Cross multiply
    11,706.86x = 16,173.65 × 9,815.51
  4. Step 4: Simplify right side
    11,706.86x = 158,752,566.98
  5. Step 5: Solve for x
    x = 158,752,566.98/11,706.86
  6. Step 6: Final answer
    x = 13,560.65

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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.