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Finding the Fourth Proportional to 7,776.02, 11,661.50 and 2,580.50

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Solution

The fourth proportional to 7,776.02, 11,661.50 and 2,580.50 is: 3,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.02 : 11,661.50 = 2,580.50 : x
  2. Step 2: Convert to fraction form
    7,776.02/11,661.50 = 2,580.50/x
  3. Step 3: Cross multiply
    7,776.02x = 11,661.50 × 2,580.50
  4. Step 4: Simplify right side
    7,776.02x = 30,092,500.75
  5. Step 5: Solve for x
    x = 30,092,500.75/7,776.02
  6. Step 6: Final answer
    x = 3,869.91

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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.