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Finding the Fourth Proportional to 13,884, 19,160.28 and 8,216.16

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Solution

The fourth proportional to 13,884, 19,160.28 and 8,216.16 is: 11,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884 : 19,160.28 = 8,216.16 : x
  2. Step 2: Convert to fraction form
    13,884/19,160.28 = 8,216.16/x
  3. Step 3: Cross multiply
    13,884x = 19,160.28 × 8,216.16
  4. Step 4: Simplify right side
    13,884x = 157,423,926.12
  5. Step 5: Solve for x
    x = 157,423,926.12/13,884
  6. Step 6: Final answer
    x = 11,338.51

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1.5x scale

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.