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Finding the Fourth Proportional to 7,693.60, 11,540.40 and 6,527.20

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Solution

The fourth proportional to 7,693.60, 11,540.40 and 6,527.20 is: 9,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.60 : 11,540.40 = 6,527.20 : x
  2. Step 2: Convert to fraction form
    7,693.60/11,540.40 = 6,527.20/x
  3. Step 3: Cross multiply
    7,693.60x = 11,540.40 × 6,527.20
  4. Step 4: Simplify right side
    7,693.60x = 75,326,498.88
  5. Step 5: Solve for x
    x = 75,326,498.88/7,693.60
  6. Step 6: Final answer
    x = 9,790.80

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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.