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Finding the Fourth Proportional to 11,408.78, 15,746.73 and 6,694.58

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Solution

The fourth proportional to 11,408.78, 15,746.73 and 6,694.58 is: 9,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.78 : 15,746.73 = 6,694.58 : x
  2. Step 2: Convert to fraction form
    11,408.78/15,746.73 = 6,694.58/x
  3. Step 3: Cross multiply
    11,408.78x = 15,746.73 × 6,694.58
  4. Step 4: Simplify right side
    11,408.78x = 105,417,743.72
  5. Step 5: Solve for x
    x = 105,417,743.72/11,408.78
  6. Step 6: Final answer
    x = 9,240.05

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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.