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Finding the Fourth Proportional to 11,953.72, 17,931.48 and 3,188.44

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Solution

The fourth proportional to 11,953.72, 17,931.48 and 3,188.44 is: 4,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.72 : 17,931.48 = 3,188.44 : x
  2. Step 2: Convert to fraction form
    11,953.72/17,931.48 = 3,188.44/x
  3. Step 3: Cross multiply
    11,953.72x = 17,931.48 × 3,188.44
  4. Step 4: Simplify right side
    11,953.72x = 57,173,448.09
  5. Step 5: Solve for x
    x = 57,173,448.09/11,953.72
  6. Step 6: Final answer
    x = 4,782.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.