Home / 3,133.18-4,699.84-824.68

Finding the Fourth Proportional to 3,133.18, 4,699.84 and 824.68

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Solution

The fourth proportional to 3,133.18, 4,699.84 and 824.68 is: 1,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.18 : 4,699.84 = 824.68 : x
  2. Step 2: Convert to fraction form
    3,133.18/4,699.84 = 824.68/x
  3. Step 3: Cross multiply
    3,133.18x = 4,699.84 × 824.68
  4. Step 4: Simplify right side
    3,133.18x = 3,875,864.05
  5. Step 5: Solve for x
    x = 3,875,864.05/3,133.18
  6. Step 6: Final answer
    x = 1,237.04

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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.