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Finding the Fourth Proportional to 7,800.52, 11,700.87 and 2,606.39

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Solution

The fourth proportional to 7,800.52, 11,700.87 and 2,606.39 is: 3,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.52 : 11,700.87 = 2,606.39 : x
  2. Step 2: Convert to fraction form
    7,800.52/11,700.87 = 2,606.39/x
  3. Step 3: Cross multiply
    7,800.52x = 11,700.87 × 2,606.39
  4. Step 4: Simplify right side
    7,800.52x = 30,497,030.56
  5. Step 5: Solve for x
    x = 30,497,030.56/7,800.52
  6. Step 6: Final answer
    x = 3,909.62

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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.