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Finding the Fourth Proportional to 6,415.84, 9,605.04 and 5,800.96

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Solution

The fourth proportional to 6,415.84, 9,605.04 and 5,800.96 is: 8,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.84 : 9,605.04 = 5,800.96 : x
  2. Step 2: Convert to fraction form
    6,415.84/9,605.04 = 5,800.96/x
  3. Step 3: Cross multiply
    6,415.84x = 9,605.04 × 5,800.96
  4. Step 4: Simplify right side
    6,415.84x = 55,718,452.84
  5. Step 5: Solve for x
    x = 55,718,452.84/6,415.84
  6. Step 6: Final answer
    x = 8,684.51

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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.