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Finding the Fourth Proportional to 11,706.64, 16,175.76 and 8,677.40

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Solution

The fourth proportional to 11,706.64, 16,175.76 and 8,677.40 is: 11,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.64 : 16,175.76 = 8,677.40 : x
  2. Step 2: Convert to fraction form
    11,706.64/16,175.76 = 8,677.40/x
  3. Step 3: Cross multiply
    11,706.64x = 16,175.76 × 8,677.40
  4. Step 4: Simplify right side
    11,706.64x = 140,363,539.82
  5. Step 5: Solve for x
    x = 140,363,539.82/11,706.64
  6. Step 6: Final answer
    x = 11,990.08

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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.