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Finding the Fourth Proportional to 7,648.40, 11,456.40 and 5,305.88

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Solution

The fourth proportional to 7,648.40, 11,456.40 and 5,305.88 is: 7,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.40 : 11,456.40 = 5,305.88 : x
  2. Step 2: Convert to fraction form
    7,648.40/11,456.40 = 5,305.88/x
  3. Step 3: Cross multiply
    7,648.40x = 11,456.40 × 5,305.88
  4. Step 4: Simplify right side
    7,648.40x = 60,786,283.63
  5. Step 5: Solve for x
    x = 60,786,283.63/7,648.40
  6. Step 6: Final answer
    x = 7,947.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.