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Finding the Fourth Proportional to 9,219.46, 12,722.79 and 5,027.71

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Solution

The fourth proportional to 9,219.46, 12,722.79 and 5,027.71 is: 6,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.46 : 12,722.79 = 5,027.71 : x
  2. Step 2: Convert to fraction form
    9,219.46/12,722.79 = 5,027.71/x
  3. Step 3: Cross multiply
    9,219.46x = 12,722.79 × 5,027.71
  4. Step 4: Simplify right side
    9,219.46x = 63,966,498.51
  5. Step 5: Solve for x
    x = 63,966,498.51/9,219.46
  6. Step 6: Final answer
    x = 6,938.20

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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.