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Finding the Fourth Proportional to 6,390.99, 9,581.71 and 4,305.14

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Solution

The fourth proportional to 6,390.99, 9,581.71 and 4,305.14 is: 6,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.99 : 9,581.71 = 4,305.14 : x
  2. Step 2: Convert to fraction form
    6,390.99/9,581.71 = 4,305.14/x
  3. Step 3: Cross multiply
    6,390.99x = 9,581.71 × 4,305.14
  4. Step 4: Simplify right side
    6,390.99x = 41,250,616.18
  5. Step 5: Solve for x
    x = 41,250,616.18/6,390.99
  6. Step 6: Final answer
    x = 6,454.49

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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.