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Finding the Fourth Proportional to 36,009, 54,013.32 and 9,716.40

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Solution

The fourth proportional to 36,009, 54,013.32 and 9,716.40 is: 14,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009 : 54,013.32 = 9,716.40 : x
  2. Step 2: Convert to fraction form
    36,009/54,013.32 = 9,716.40/x
  3. Step 3: Cross multiply
    36,009x = 54,013.32 × 9,716.40
  4. Step 4: Simplify right side
    36,009x = 524,815,022.45
  5. Step 5: Solve for x
    x = 524,815,022.45/36,009
  6. Step 6: Final answer
    x = 14,574.55

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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.