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Finding the Fourth Proportional to 7,086.64, 9,777.75 and 4,849.21

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Solution

The fourth proportional to 7,086.64, 9,777.75 and 4,849.21 is: 6,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.64 : 9,777.75 = 4,849.21 : x
  2. Step 2: Convert to fraction form
    7,086.64/9,777.75 = 4,849.21/x
  3. Step 3: Cross multiply
    7,086.64x = 9,777.75 × 4,849.21
  4. Step 4: Simplify right side
    7,086.64x = 47,414,363.08
  5. Step 5: Solve for x
    x = 47,414,363.08/7,086.64
  6. Step 6: Final answer
    x = 6,690.67

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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.