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Finding the Fourth Proportional to 9,287.64, 13,929.84 and 3,663.81

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Solution

The fourth proportional to 9,287.64, 13,929.84 and 3,663.81 is: 5,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.64 : 13,929.84 = 3,663.81 : x
  2. Step 2: Convert to fraction form
    9,287.64/13,929.84 = 3,663.81/x
  3. Step 3: Cross multiply
    9,287.64x = 13,929.84 × 3,663.81
  4. Step 4: Simplify right side
    9,287.64x = 51,036,287.09
  5. Step 5: Solve for x
    x = 51,036,287.09/9,287.64
  6. Step 6: Final answer
    x = 5,495.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.