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Finding the Fourth Proportional to 6,433.40, 8,873.88 and 5,105

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Solution

The fourth proportional to 6,433.40, 8,873.88 and 5,105 is: 7,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.40 : 8,873.88 = 5,105 : x
  2. Step 2: Convert to fraction form
    6,433.40/8,873.88 = 5,105/x
  3. Step 3: Cross multiply
    6,433.40x = 8,873.88 × 5,105
  4. Step 4: Simplify right side
    6,433.40x = 45,301,157.40
  5. Step 5: Solve for x
    x = 45,301,157.40/6,433.40
  6. Step 6: Final answer
    x = 7,041.56

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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.