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Finding the Fourth Proportional to 2,580.03, 3,868.86 and 824.69

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Solution

The fourth proportional to 2,580.03, 3,868.86 and 824.69 is: 1,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.03 : 3,868.86 = 824.69 : x
  2. Step 2: Convert to fraction form
    2,580.03/3,868.86 = 824.69/x
  3. Step 3: Cross multiply
    2,580.03x = 3,868.86 × 824.69
  4. Step 4: Simplify right side
    2,580.03x = 3,190,603.77
  5. Step 5: Solve for x
    x = 3,190,603.77/2,580.03
  6. Step 6: Final answer
    x = 1,236.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.