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Finding the Fourth Proportional to 8,465.34, 12,702.06 and 3,270

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Solution

The fourth proportional to 8,465.34, 12,702.06 and 3,270 is: 4,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.34 : 12,702.06 = 3,270 : x
  2. Step 2: Convert to fraction form
    8,465.34/12,702.06 = 3,270/x
  3. Step 3: Cross multiply
    8,465.34x = 12,702.06 × 3,270
  4. Step 4: Simplify right side
    8,465.34x = 41,535,736.20
  5. Step 5: Solve for x
    x = 41,535,736.20/8,465.34
  6. Step 6: Final answer
    x = 4,906.56

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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.