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Finding the Fourth Proportional to 5,216.60, 7,811.03 and 3,457.08

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Solution

The fourth proportional to 5,216.60, 7,811.03 and 3,457.08 is: 5,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.60 : 7,811.03 = 3,457.08 : x
  2. Step 2: Convert to fraction form
    5,216.60/7,811.03 = 3,457.08/x
  3. Step 3: Cross multiply
    5,216.60x = 7,811.03 × 3,457.08
  4. Step 4: Simplify right side
    5,216.60x = 27,003,364.24
  5. Step 5: Solve for x
    x = 27,003,364.24/5,216.60
  6. Step 6: Final answer
    x = 5,176.43

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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.