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Finding the Fourth Proportional to 8,406.03, 11,596.32 and 5,420.37

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Solution

The fourth proportional to 8,406.03, 11,596.32 and 5,420.37 is: 7,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.03 : 11,596.32 = 5,420.37 : x
  2. Step 2: Convert to fraction form
    8,406.03/11,596.32 = 5,420.37/x
  3. Step 3: Cross multiply
    8,406.03x = 11,596.32 × 5,420.37
  4. Step 4: Simplify right side
    8,406.03x = 62,856,345.04
  5. Step 5: Solve for x
    x = 62,856,345.04/8,406.03
  6. Step 6: Final answer
    x = 7,477.53

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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.