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Finding the Fourth Proportional to 8,127, 11,214.36 and 4,589.46

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Solution

The fourth proportional to 8,127, 11,214.36 and 4,589.46 is: 6,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 11,214.36 = 4,589.46 : x
  2. Step 2: Convert to fraction form
    8,127/11,214.36 = 4,589.46/x
  3. Step 3: Cross multiply
    8,127x = 11,214.36 × 4,589.46
  4. Step 4: Simplify right side
    8,127x = 51,467,856.65
  5. Step 5: Solve for x
    x = 51,467,856.65/8,127
  6. Step 6: Final answer
    x = 6,332.95

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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.