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Finding the Fourth Proportional to 9,518, 13,134.84 and 5,327.06

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Solution

The fourth proportional to 9,518, 13,134.84 and 5,327.06 is: 7,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518 : 13,134.84 = 5,327.06 : x
  2. Step 2: Convert to fraction form
    9,518/13,134.84 = 5,327.06/x
  3. Step 3: Cross multiply
    9,518x = 13,134.84 × 5,327.06
  4. Step 4: Simplify right side
    9,518x = 69,970,080.77
  5. Step 5: Solve for x
    x = 69,970,080.77/9,518
  6. Step 6: Final answer
    x = 7,351.34

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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.