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Finding the Fourth Proportional to 13,508.64, 18,638.64 and 7,918.56

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Solution

The fourth proportional to 13,508.64, 18,638.64 and 7,918.56 is: 10,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.64 : 18,638.64 = 7,918.56 : x
  2. Step 2: Convert to fraction form
    13,508.64/18,638.64 = 7,918.56/x
  3. Step 3: Cross multiply
    13,508.64x = 18,638.64 × 7,918.56
  4. Step 4: Simplify right side
    13,508.64x = 147,591,189.16
  5. Step 5: Solve for x
    x = 147,591,189.16/13,508.64
  6. Step 6: Final answer
    x = 10,925.69

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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.