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Finding the Fourth Proportional to 9,143.86, 12,619.02 and 5,165.14

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Solution

The fourth proportional to 9,143.86, 12,619.02 and 5,165.14 is: 7,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.86 : 12,619.02 = 5,165.14 : x
  2. Step 2: Convert to fraction form
    9,143.86/12,619.02 = 5,165.14/x
  3. Step 3: Cross multiply
    9,143.86x = 12,619.02 × 5,165.14
  4. Step 4: Simplify right side
    9,143.86x = 65,179,004.96
  5. Step 5: Solve for x
    x = 65,179,004.96/9,143.86
  6. Step 6: Final answer
    x = 7,128.17

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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.