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Finding the Fourth Proportional to 9,004, 12,426.78 and 6,494.42

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Solution

The fourth proportional to 9,004, 12,426.78 and 6,494.42 is: 8,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004 : 12,426.78 = 6,494.42 : x
  2. Step 2: Convert to fraction form
    9,004/12,426.78 = 6,494.42/x
  3. Step 3: Cross multiply
    9,004x = 12,426.78 × 6,494.42
  4. Step 4: Simplify right side
    9,004x = 80,704,728.57
  5. Step 5: Solve for x
    x = 80,704,728.57/9,004
  6. Step 6: Final answer
    x = 8,963.21

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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.