Home / 1,410.48-2,112.84-824.40

Finding the Fourth Proportional to 1,410.48, 2,112.84 and 824.40

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Solution

The fourth proportional to 1,410.48, 2,112.84 and 824.40 is: 1,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.48 : 2,112.84 = 824.40 : x
  2. Step 2: Convert to fraction form
    1,410.48/2,112.84 = 824.40/x
  3. Step 3: Cross multiply
    1,410.48x = 2,112.84 × 824.40
  4. Step 4: Simplify right side
    1,410.48x = 1,741,825.30
  5. Step 5: Solve for x
    x = 1,741,825.30/1,410.48
  6. Step 6: Final answer
    x = 1,234.92

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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.