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Finding the Fourth Proportional to 12,144.60, 16,750.80 and 8,167.50

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Solution

The fourth proportional to 12,144.60, 16,750.80 and 8,167.50 is: 11,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.60 : 16,750.80 = 8,167.50 : x
  2. Step 2: Convert to fraction form
    12,144.60/16,750.80 = 8,167.50/x
  3. Step 3: Cross multiply
    12,144.60x = 16,750.80 × 8,167.50
  4. Step 4: Simplify right side
    12,144.60x = 136,812,159
  5. Step 5: Solve for x
    x = 136,812,159/12,144.60
  6. Step 6: Final answer
    x = 11,265.27

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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.