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Finding the Fourth Proportional to 10,611.76, 14,636.28 and 6,414.64

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Solution

The fourth proportional to 10,611.76, 14,636.28 and 6,414.64 is: 8,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.76 : 14,636.28 = 6,414.64 : x
  2. Step 2: Convert to fraction form
    10,611.76/14,636.28 = 6,414.64/x
  3. Step 3: Cross multiply
    10,611.76x = 14,636.28 × 6,414.64
  4. Step 4: Simplify right side
    10,611.76x = 93,886,467.14
  5. Step 5: Solve for x
    x = 93,886,467.14/10,611.76
  6. Step 6: Final answer
    x = 8,847.40

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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.