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Finding the Fourth Proportional to 15,777.60, 23,660.80 and 6,996.80

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Solution

The fourth proportional to 15,777.60, 23,660.80 and 6,996.80 is: 10,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.60 : 23,660.80 = 6,996.80 : x
  2. Step 2: Convert to fraction form
    15,777.60/23,660.80 = 6,996.80/x
  3. Step 3: Cross multiply
    15,777.60x = 23,660.80 × 6,996.80
  4. Step 4: Simplify right side
    15,777.60x = 165,549,885.44
  5. Step 5: Solve for x
    x = 165,549,885.44/15,777.60
  6. Step 6: Final answer
    x = 10,492.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.