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Finding the Fourth Proportional to 11,611.64, 15,987.64 and 10,247.51

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Solution

The fourth proportional to 11,611.64, 15,987.64 and 10,247.51 is: 14,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.64 : 15,987.64 = 10,247.51 : x
  2. Step 2: Convert to fraction form
    11,611.64/15,987.64 = 10,247.51/x
  3. Step 3: Cross multiply
    11,611.64x = 15,987.64 × 10,247.51
  4. Step 4: Simplify right side
    11,611.64x = 163,833,500.78
  5. Step 5: Solve for x
    x = 163,833,500.78/11,611.64
  6. Step 6: Final answer
    x = 14,109.42

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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.