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Finding the Fourth Proportional to 6,424.48, 9,623.28 and 5,645.44

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Solution

The fourth proportional to 6,424.48, 9,623.28 and 5,645.44 is: 8,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.48 : 9,623.28 = 5,645.44 : x
  2. Step 2: Convert to fraction form
    6,424.48/9,623.28 = 5,645.44/x
  3. Step 3: Cross multiply
    6,424.48x = 9,623.28 × 5,645.44
  4. Step 4: Simplify right side
    6,424.48x = 54,327,649.84
  5. Step 5: Solve for x
    x = 54,327,649.84/6,424.48
  6. Step 6: Final answer
    x = 8,456.35

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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.