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Finding the Fourth Proportional to 9,777.60, 13,491 and 5,799.99

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Solution

The fourth proportional to 9,777.60, 13,491 and 5,799.99 is: 8,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.60 : 13,491 = 5,799.99 : x
  2. Step 2: Convert to fraction form
    9,777.60/13,491 = 5,799.99/x
  3. Step 3: Cross multiply
    9,777.60x = 13,491 × 5,799.99
  4. Step 4: Simplify right side
    9,777.60x = 78,247,665.09
  5. Step 5: Solve for x
    x = 78,247,665.09/9,777.60
  6. Step 6: Final answer
    x = 8,002.75

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1.5x scale

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.