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Finding the Fourth Proportional to 8,590.76, 12,860.20 and 7,769.42

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Solution

The fourth proportional to 8,590.76, 12,860.20 and 7,769.42 is: 11,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.76 : 12,860.20 = 7,769.42 : x
  2. Step 2: Convert to fraction form
    8,590.76/12,860.20 = 7,769.42/x
  3. Step 3: Cross multiply
    8,590.76x = 12,860.20 × 7,769.42
  4. Step 4: Simplify right side
    8,590.76x = 99,916,295.08
  5. Step 5: Solve for x
    x = 99,916,295.08/8,590.76
  6. Step 6: Final answer
    x = 11,630.67

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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.