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Finding the Fourth Proportional to 7,788.60, 11,682.90 and 4,678.20

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Solution

The fourth proportional to 7,788.60, 11,682.90 and 4,678.20 is: 7,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.60 : 11,682.90 = 4,678.20 : x
  2. Step 2: Convert to fraction form
    7,788.60/11,682.90 = 4,678.20/x
  3. Step 3: Cross multiply
    7,788.60x = 11,682.90 × 4,678.20
  4. Step 4: Simplify right side
    7,788.60x = 54,654,942.78
  5. Step 5: Solve for x
    x = 54,654,942.78/7,788.60
  6. Step 6: Final answer
    x = 7,017.30

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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.