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Finding the Fourth Proportional to 13,589.64, 18,752.62 and 7,620.50

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Solution

The fourth proportional to 13,589.64, 18,752.62 and 7,620.50 is: 10,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.64 : 18,752.62 = 7,620.50 : x
  2. Step 2: Convert to fraction form
    13,589.64/18,752.62 = 7,620.50/x
  3. Step 3: Cross multiply
    13,589.64x = 18,752.62 × 7,620.50
  4. Step 4: Simplify right side
    13,589.64x = 142,904,340.71
  5. Step 5: Solve for x
    x = 142,904,340.71/13,589.64
  6. Step 6: Final answer
    x = 10,515.68

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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.