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Finding the Fourth Proportional to 13,677.47, 18,865.54 and 8,374.91

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Solution

The fourth proportional to 13,677.47, 18,865.54 and 8,374.91 is: 11,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.47 : 18,865.54 = 8,374.91 : x
  2. Step 2: Convert to fraction form
    13,677.47/18,865.54 = 8,374.91/x
  3. Step 3: Cross multiply
    13,677.47x = 18,865.54 × 8,374.91
  4. Step 4: Simplify right side
    13,677.47x = 157,997,157.73
  5. Step 5: Solve for x
    x = 157,997,157.73/13,677.47
  6. Step 6: Final answer
    x = 11,551.64

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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.