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Finding the Fourth Proportional to 6,330.16, 8,730.64 and 5,905.75

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Solution

The fourth proportional to 6,330.16, 8,730.64 and 5,905.75 is: 8,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.16 : 8,730.64 = 5,905.75 : x
  2. Step 2: Convert to fraction form
    6,330.16/8,730.64 = 5,905.75/x
  3. Step 3: Cross multiply
    6,330.16x = 8,730.64 × 5,905.75
  4. Step 4: Simplify right side
    6,330.16x = 51,560,977.18
  5. Step 5: Solve for x
    x = 51,560,977.18/6,330.16
  6. Step 6: Final answer
    x = 8,145.29

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1.5x scale

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.