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Finding the Fourth Proportional to 5,812, 8,009.36 and 3,712.48

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Solution

The fourth proportional to 5,812, 8,009.36 and 3,712.48 is: 5,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812 : 8,009.36 = 3,712.48 : x
  2. Step 2: Convert to fraction form
    5,812/8,009.36 = 3,712.48/x
  3. Step 3: Cross multiply
    5,812x = 8,009.36 × 3,712.48
  4. Step 4: Simplify right side
    5,812x = 29,734,588.81
  5. Step 5: Solve for x
    x = 29,734,588.81/5,812
  6. Step 6: Final answer
    x = 5,116.07

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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.