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Finding the Fourth Proportional to 9,143.94, 12,617.94 and 5,165.46

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Solution

The fourth proportional to 9,143.94, 12,617.94 and 5,165.46 is: 7,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.94 : 12,617.94 = 5,165.46 : x
  2. Step 2: Convert to fraction form
    9,143.94/12,617.94 = 5,165.46/x
  3. Step 3: Cross multiply
    9,143.94x = 12,617.94 × 5,165.46
  4. Step 4: Simplify right side
    9,143.94x = 65,177,464.35
  5. Step 5: Solve for x
    x = 65,177,464.35/9,143.94
  6. Step 6: Final answer
    x = 7,127.94

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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.