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Finding the Fourth Proportional to 13,645.64, 18,829.97 and 7,676.16

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Solution

The fourth proportional to 13,645.64, 18,829.97 and 7,676.16 is: 10,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.64 : 18,829.97 = 7,676.16 : x
  2. Step 2: Convert to fraction form
    13,645.64/18,829.97 = 7,676.16/x
  3. Step 3: Cross multiply
    13,645.64x = 18,829.97 × 7,676.16
  4. Step 4: Simplify right side
    13,645.64x = 144,541,881.71
  5. Step 5: Solve for x
    x = 144,541,881.71/13,645.64
  6. Step 6: Final answer
    x = 10,592.53

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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.