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Finding the Fourth Proportional to 7,776.40, 11,660.80 and 2,580.52

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Solution

The fourth proportional to 7,776.40, 11,660.80 and 2,580.52 is: 3,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.40 : 11,660.80 = 2,580.52 : x
  2. Step 2: Convert to fraction form
    7,776.40/11,660.80 = 2,580.52/x
  3. Step 3: Cross multiply
    7,776.40x = 11,660.80 × 2,580.52
  4. Step 4: Simplify right side
    7,776.40x = 30,090,927.62
  5. Step 5: Solve for x
    x = 30,090,927.62/7,776.40
  6. Step 6: Final answer
    x = 3,869.52

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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.