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Finding the Fourth Proportional to 9,653.28, 13,318.43 and 5,403.71

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Solution

The fourth proportional to 9,653.28, 13,318.43 and 5,403.71 is: 7,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.28 : 13,318.43 = 5,403.71 : x
  2. Step 2: Convert to fraction form
    9,653.28/13,318.43 = 5,403.71/x
  3. Step 3: Cross multiply
    9,653.28x = 13,318.43 × 5,403.71
  4. Step 4: Simplify right side
    9,653.28x = 71,968,939.65
  5. Step 5: Solve for x
    x = 71,968,939.65/9,653.28
  6. Step 6: Final answer
    x = 7,455.39

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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.