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Finding the Fourth Proportional to 7,564.46, 10,439.87 and 4,580.21

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Solution

The fourth proportional to 7,564.46, 10,439.87 and 4,580.21 is: 6,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.46 : 10,439.87 = 4,580.21 : x
  2. Step 2: Convert to fraction form
    7,564.46/10,439.87 = 4,580.21/x
  3. Step 3: Cross multiply
    7,564.46x = 10,439.87 × 4,580.21
  4. Step 4: Simplify right side
    7,564.46x = 47,816,800.17
  5. Step 5: Solve for x
    x = 47,816,800.17/7,564.46
  6. Step 6: Final answer
    x = 6,321.25

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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.