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Finding the Fourth Proportional to 6,465, 8,921.28 and 3,811.80

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Solution

The fourth proportional to 6,465, 8,921.28 and 3,811.80 is: 5,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 8,921.28 = 3,811.80 : x
  2. Step 2: Convert to fraction form
    6,465/8,921.28 = 3,811.80/x
  3. Step 3: Cross multiply
    6,465x = 8,921.28 × 3,811.80
  4. Step 4: Simplify right side
    6,465x = 34,006,135.10
  5. Step 5: Solve for x
    x = 34,006,135.10/6,465
  6. Step 6: Final answer
    x = 5,260.04

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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.