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Finding the Fourth Proportional to 13,646.14, 18,830.66 and 7,676.66

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Solution

The fourth proportional to 13,646.14, 18,830.66 and 7,676.66 is: 10,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.14 : 18,830.66 = 7,676.66 : x
  2. Step 2: Convert to fraction form
    13,646.14/18,830.66 = 7,676.66/x
  3. Step 3: Cross multiply
    13,646.14x = 18,830.66 × 7,676.66
  4. Step 4: Simplify right side
    13,646.14x = 144,556,593.59
  5. Step 5: Solve for x
    x = 144,556,593.59/13,646.14
  6. Step 6: Final answer
    x = 10,593.22

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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.