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Finding the Fourth Proportional to 6,893.60, 9,512.68 and 3,749.72

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Solution

The fourth proportional to 6,893.60, 9,512.68 and 3,749.72 is: 5,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.60 : 9,512.68 = 3,749.72 : x
  2. Step 2: Convert to fraction form
    6,893.60/9,512.68 = 3,749.72/x
  3. Step 3: Cross multiply
    6,893.60x = 9,512.68 × 3,749.72
  4. Step 4: Simplify right side
    6,893.60x = 35,669,886.45
  5. Step 5: Solve for x
    x = 35,669,886.45/6,893.60
  6. Step 6: Final answer
    x = 5,174.35

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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.