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Finding the Fourth Proportional to 5,300.96, 7,928.16 and 4,719.68

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Solution

The fourth proportional to 5,300.96, 7,928.16 and 4,719.68 is: 7,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.96 : 7,928.16 = 4,719.68 : x
  2. Step 2: Convert to fraction form
    5,300.96/7,928.16 = 4,719.68/x
  3. Step 3: Cross multiply
    5,300.96x = 7,928.16 × 4,719.68
  4. Step 4: Simplify right side
    5,300.96x = 37,418,378.19
  5. Step 5: Solve for x
    x = 37,418,378.19/5,300.96
  6. Step 6: Final answer
    x = 7,058.79

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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.