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Finding the Fourth Proportional to 10,772.88, 16,190.64 and 8,935.68

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Solution

The fourth proportional to 10,772.88, 16,190.64 and 8,935.68 is: 13,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.88 : 16,190.64 = 8,935.68 : x
  2. Step 2: Convert to fraction form
    10,772.88/16,190.64 = 8,935.68/x
  3. Step 3: Cross multiply
    10,772.88x = 16,190.64 × 8,935.68
  4. Step 4: Simplify right side
    10,772.88x = 144,674,378.04
  5. Step 5: Solve for x
    x = 144,674,378.04/10,772.88
  6. Step 6: Final answer
    x = 13,429.50

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1.5x scale

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.