Home / 5,115.64-7,674.88-1,829.06

Finding the Fourth Proportional to 5,115.64, 7,674.88 and 1,829.06

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Solution

The fourth proportional to 5,115.64, 7,674.88 and 1,829.06 is: 2,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.64 : 7,674.88 = 1,829.06 : x
  2. Step 2: Convert to fraction form
    5,115.64/7,674.88 = 1,829.06/x
  3. Step 3: Cross multiply
    5,115.64x = 7,674.88 × 1,829.06
  4. Step 4: Simplify right side
    5,115.64x = 14,037,816.01
  5. Step 5: Solve for x
    x = 14,037,816.01/5,115.64
  6. Step 6: Final answer
    x = 2,744.10

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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.