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Finding the Fourth Proportional to 5,807.84, 8,713.92 and 2,519.68

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Solution

The fourth proportional to 5,807.84, 8,713.92 and 2,519.68 is: 3,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.84 : 8,713.92 = 2,519.68 : x
  2. Step 2: Convert to fraction form
    5,807.84/8,713.92 = 2,519.68/x
  3. Step 3: Cross multiply
    5,807.84x = 8,713.92 × 2,519.68
  4. Step 4: Simplify right side
    5,807.84x = 21,956,289.95
  5. Step 5: Solve for x
    x = 21,956,289.95/5,807.84
  6. Step 6: Final answer
    x = 3,780.46

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1.5x scale

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.