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Finding the Fourth Proportional to 6,456.02, 8,908.85 and 3,802.86

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Solution

The fourth proportional to 6,456.02, 8,908.85 and 3,802.86 is: 5,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.02 : 8,908.85 = 3,802.86 : x
  2. Step 2: Convert to fraction form
    6,456.02/8,908.85 = 3,802.86/x
  3. Step 3: Cross multiply
    6,456.02x = 8,908.85 × 3,802.86
  4. Step 4: Simplify right side
    6,456.02x = 33,879,118.82
  5. Step 5: Solve for x
    x = 33,879,118.82/6,456.02
  6. Step 6: Final answer
    x = 5,247.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.