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Finding the Fourth Proportional to 5,310.56, 7,965.84 and 1,612.81

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Solution

The fourth proportional to 5,310.56, 7,965.84 and 1,612.81 is: 2,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.56 : 7,965.84 = 1,612.81 : x
  2. Step 2: Convert to fraction form
    5,310.56/7,965.84 = 1,612.81/x
  3. Step 3: Cross multiply
    5,310.56x = 7,965.84 × 1,612.81
  4. Step 4: Simplify right side
    5,310.56x = 12,847,386.41
  5. Step 5: Solve for x
    x = 12,847,386.41/5,310.56
  6. Step 6: Final answer
    x = 2,419.22

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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.