Home / 1,454.06-2,006.12-824.50

Finding the Fourth Proportional to 1,454.06, 2,006.12 and 824.50

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Solution

The fourth proportional to 1,454.06, 2,006.12 and 824.50 is: 1,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.06 : 2,006.12 = 824.50 : x
  2. Step 2: Convert to fraction form
    1,454.06/2,006.12 = 824.50/x
  3. Step 3: Cross multiply
    1,454.06x = 2,006.12 × 824.50
  4. Step 4: Simplify right side
    1,454.06x = 1,654,045.94
  5. Step 5: Solve for x
    x = 1,654,045.94/1,454.06
  6. Step 6: Final answer
    x = 1,137.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.