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Finding the Fourth Proportional to 5,806.40, 8,709.12 and 1,909.76

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Solution

The fourth proportional to 5,806.40, 8,709.12 and 1,909.76 is: 2,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.40 : 8,709.12 = 1,909.76 : x
  2. Step 2: Convert to fraction form
    5,806.40/8,709.12 = 1,909.76/x
  3. Step 3: Cross multiply
    5,806.40x = 8,709.12 × 1,909.76
  4. Step 4: Simplify right side
    5,806.40x = 16,632,329.01
  5. Step 5: Solve for x
    x = 16,632,329.01/5,806.40
  6. Step 6: Final answer
    x = 2,864.48

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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.