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Finding the Fourth Proportional to 13,883.76, 19,154.84 and 7,911.12

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Solution

The fourth proportional to 13,883.76, 19,154.84 and 7,911.12 is: 10,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.76 : 19,154.84 = 7,911.12 : x
  2. Step 2: Convert to fraction form
    13,883.76/19,154.84 = 7,911.12/x
  3. Step 3: Cross multiply
    13,883.76x = 19,154.84 × 7,911.12
  4. Step 4: Simplify right side
    13,883.76x = 151,536,305.49
  5. Step 5: Solve for x
    x = 151,536,305.49/13,883.76
  6. Step 6: Final answer
    x = 10,914.64

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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.