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Finding the Fourth Proportional to 7,468.80, 10,311.36 and 4,820.16

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Solution

The fourth proportional to 7,468.80, 10,311.36 and 4,820.16 is: 6,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.80 : 10,311.36 = 4,820.16 : x
  2. Step 2: Convert to fraction form
    7,468.80/10,311.36 = 4,820.16/x
  3. Step 3: Cross multiply
    7,468.80x = 10,311.36 × 4,820.16
  4. Step 4: Simplify right side
    7,468.80x = 49,702,405.02
  5. Step 5: Solve for x
    x = 49,702,405.02/7,468.80
  6. Step 6: Final answer
    x = 6,654.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.