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Finding the Fourth Proportional to 10,189.63, 14,062.40 and 5,653.79

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Solution

The fourth proportional to 10,189.63, 14,062.40 and 5,653.79 is: 7,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.63 : 14,062.40 = 5,653.79 : x
  2. Step 2: Convert to fraction form
    10,189.63/14,062.40 = 5,653.79/x
  3. Step 3: Cross multiply
    10,189.63x = 14,062.40 × 5,653.79
  4. Step 4: Simplify right side
    10,189.63x = 79,505,863.65
  5. Step 5: Solve for x
    x = 79,505,863.65/10,189.63
  6. Step 6: Final answer
    x = 7,802.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.