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Finding the Fourth Proportional to 7,509.02, 11,243 and 5,431.10

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Solution

The fourth proportional to 7,509.02, 11,243 and 5,431.10 is: 8,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.02 : 11,243 = 5,431.10 : x
  2. Step 2: Convert to fraction form
    7,509.02/11,243 = 5,431.10/x
  3. Step 3: Cross multiply
    7,509.02x = 11,243 × 5,431.10
  4. Step 4: Simplify right side
    7,509.02x = 61,061,857.30
  5. Step 5: Solve for x
    x = 61,061,857.30/7,509.02
  6. Step 6: Final answer
    x = 8,131.80

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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.