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Finding the Fourth Proportional to 9,866.07, 13,614.47 and 5,388.87

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Solution

The fourth proportional to 9,866.07, 13,614.47 and 5,388.87 is: 7,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.07 : 13,614.47 = 5,388.87 : x
  2. Step 2: Convert to fraction form
    9,866.07/13,614.47 = 5,388.87/x
  3. Step 3: Cross multiply
    9,866.07x = 13,614.47 × 5,388.87
  4. Step 4: Simplify right side
    9,866.07x = 73,366,582.00
  5. Step 5: Solve for x
    x = 73,366,582.00/9,866.07
  6. Step 6: Final answer
    x = 7,436.25

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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.