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Finding the Fourth Proportional to 9,294.04, 12,815.94 and 6,640.48

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Solution

The fourth proportional to 9,294.04, 12,815.94 and 6,640.48 is: 9,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.04 : 12,815.94 = 6,640.48 : x
  2. Step 2: Convert to fraction form
    9,294.04/12,815.94 = 6,640.48/x
  3. Step 3: Cross multiply
    9,294.04x = 12,815.94 × 6,640.48
  4. Step 4: Simplify right side
    9,294.04x = 85,103,993.25
  5. Step 5: Solve for x
    x = 85,103,993.25/9,294.04
  6. Step 6: Final answer
    x = 9,156.84

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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.