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Finding the Fourth Proportional to 7,522, 11,283.60 and 2,591.64

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Solution

The fourth proportional to 7,522, 11,283.60 and 2,591.64 is: 3,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 11,283.60 = 2,591.64 : x
  2. Step 2: Convert to fraction form
    7,522/11,283.60 = 2,591.64/x
  3. Step 3: Cross multiply
    7,522x = 11,283.60 × 2,591.64
  4. Step 4: Simplify right side
    7,522x = 29,243,029.10
  5. Step 5: Solve for x
    x = 29,243,029.10/7,522
  6. Step 6: Final answer
    x = 3,887.67

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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.