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Finding the Fourth Proportional to 11,611.20, 16,014.20 and 7,636.40

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Solution

The fourth proportional to 11,611.20, 16,014.20 and 7,636.40 is: 10,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.20 : 16,014.20 = 7,636.40 : x
  2. Step 2: Convert to fraction form
    11,611.20/16,014.20 = 7,636.40/x
  3. Step 3: Cross multiply
    11,611.20x = 16,014.20 × 7,636.40
  4. Step 4: Simplify right side
    11,611.20x = 122,290,718.63
  5. Step 5: Solve for x
    x = 122,290,718.63/11,611.20
  6. Step 6: Final answer
    x = 10,532.13

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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.