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Finding the Fourth Proportional to 10,509.48, 14,498.49 and 6,919.81

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Solution

The fourth proportional to 10,509.48, 14,498.49 and 6,919.81 is: 9,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.48 : 14,498.49 = 6,919.81 : x
  2. Step 2: Convert to fraction form
    10,509.48/14,498.49 = 6,919.81/x
  3. Step 3: Cross multiply
    10,509.48x = 14,498.49 × 6,919.81
  4. Step 4: Simplify right side
    10,509.48x = 100,326,796.09
  5. Step 5: Solve for x
    x = 100,326,796.09/10,509.48
  6. Step 6: Final answer
    x = 9,546.31

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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.