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Finding the Fourth Proportional to 9,672.78, 13,348.08 and 5,481.84

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Solution

The fourth proportional to 9,672.78, 13,348.08 and 5,481.84 is: 7,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.78 : 13,348.08 = 5,481.84 : x
  2. Step 2: Convert to fraction form
    9,672.78/13,348.08 = 5,481.84/x
  3. Step 3: Cross multiply
    9,672.78x = 13,348.08 × 5,481.84
  4. Step 4: Simplify right side
    9,672.78x = 73,172,038.87
  5. Step 5: Solve for x
    x = 73,172,038.87/9,672.78
  6. Step 6: Final answer
    x = 7,564.74

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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.