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Finding the Fourth Proportional to 11,440.54, 15,788.21 and 6,404.64

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Solution

The fourth proportional to 11,440.54, 15,788.21 and 6,404.64 is: 8,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.54 : 15,788.21 = 6,404.64 : x
  2. Step 2: Convert to fraction form
    11,440.54/15,788.21 = 6,404.64/x
  3. Step 3: Cross multiply
    11,440.54x = 15,788.21 × 6,404.64
  4. Step 4: Simplify right side
    11,440.54x = 101,117,801.29
  5. Step 5: Solve for x
    x = 101,117,801.29/11,440.54
  6. Step 6: Final answer
    x = 8,838.55

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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.