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Finding the Fourth Proportional to 13,883.70, 19,160.64 and 7,917.24

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Solution

The fourth proportional to 13,883.70, 19,160.64 and 7,917.24 is: 10,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.70 : 19,160.64 = 7,917.24 : x
  2. Step 2: Convert to fraction form
    13,883.70/19,160.64 = 7,917.24/x
  3. Step 3: Cross multiply
    13,883.70x = 19,160.64 × 7,917.24
  4. Step 4: Simplify right side
    13,883.70x = 151,699,385.43
  5. Step 5: Solve for x
    x = 151,699,385.43/13,883.70
  6. Step 6: Final answer
    x = 10,926.44

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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.