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Finding the Fourth Proportional to 5,160.32, 7,736.28 and 2,561.84

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Solution

The fourth proportional to 5,160.32, 7,736.28 and 2,561.84 is: 3,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.32 : 7,736.28 = 2,561.84 : x
  2. Step 2: Convert to fraction form
    5,160.32/7,736.28 = 2,561.84/x
  3. Step 3: Cross multiply
    5,160.32x = 7,736.28 × 2,561.84
  4. Step 4: Simplify right side
    5,160.32x = 19,819,111.56
  5. Step 5: Solve for x
    x = 19,819,111.56/5,160.32
  6. Step 6: Final answer
    x = 3,840.67

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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.