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Finding the Fourth Proportional to 13,645.90, 18,830 and 7,677.44

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Solution

The fourth proportional to 13,645.90, 18,830 and 7,677.44 is: 10,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.90 : 18,830 = 7,677.44 : x
  2. Step 2: Convert to fraction form
    13,645.90/18,830 = 7,677.44/x
  3. Step 3: Cross multiply
    13,645.90x = 18,830 × 7,677.44
  4. Step 4: Simplify right side
    13,645.90x = 144,566,195.20
  5. Step 5: Solve for x
    x = 144,566,195.20/13,645.90
  6. Step 6: Final answer
    x = 10,594.11

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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.