Home / 2,384.46-3,577.14-824.40

Finding the Fourth Proportional to 2,384.46, 3,577.14 and 824.40

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Solution

The fourth proportional to 2,384.46, 3,577.14 and 824.40 is: 1,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.46 : 3,577.14 = 824.40 : x
  2. Step 2: Convert to fraction form
    2,384.46/3,577.14 = 824.40/x
  3. Step 3: Cross multiply
    2,384.46x = 3,577.14 × 824.40
  4. Step 4: Simplify right side
    2,384.46x = 2,948,994.22
  5. Step 5: Solve for x
    x = 2,948,994.22/2,384.46
  6. Step 6: Final answer
    x = 1,236.76

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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.