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Finding the Fourth Proportional to 7,009.34, 9,672.92 and 3,865.54

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Solution

The fourth proportional to 7,009.34, 9,672.92 and 3,865.54 is: 5,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.34 : 9,672.92 = 3,865.54 : x
  2. Step 2: Convert to fraction form
    7,009.34/9,672.92 = 3,865.54/x
  3. Step 3: Cross multiply
    7,009.34x = 9,672.92 × 3,865.54
  4. Step 4: Simplify right side
    7,009.34x = 37,391,059.18
  5. Step 5: Solve for x
    x = 37,391,059.18/7,009.34
  6. Step 6: Final answer
    x = 5,334.46

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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.