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Finding the Fourth Proportional to 13,645.56, 18,830.88 and 7,677.48

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Solution

The fourth proportional to 13,645.56, 18,830.88 and 7,677.48 is: 10,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.56 : 18,830.88 = 7,677.48 : x
  2. Step 2: Convert to fraction form
    13,645.56/18,830.88 = 7,677.48/x
  3. Step 3: Cross multiply
    13,645.56x = 18,830.88 × 7,677.48
  4. Step 4: Simplify right side
    13,645.56x = 144,573,704.58
  5. Step 5: Solve for x
    x = 144,573,704.58/13,645.56
  6. Step 6: Final answer
    x = 10,594.93

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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.