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Finding the Fourth Proportional to 6,713.40, 10,071.92 and 4,777.92

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Solution

The fourth proportional to 6,713.40, 10,071.92 and 4,777.92 is: 7,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.40 : 10,071.92 = 4,777.92 : x
  2. Step 2: Convert to fraction form
    6,713.40/10,071.92 = 4,777.92/x
  3. Step 3: Cross multiply
    6,713.40x = 10,071.92 × 4,777.92
  4. Step 4: Simplify right side
    6,713.40x = 48,122,828.01
  5. Step 5: Solve for x
    x = 48,122,828.01/6,713.40
  6. Step 6: Final answer
    x = 7,168.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.