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Finding the Fourth Proportional to 7,515, 11,279.70 and 3,131.28

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Solution

The fourth proportional to 7,515, 11,279.70 and 3,131.28 is: 4,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515 : 11,279.70 = 3,131.28 : x
  2. Step 2: Convert to fraction form
    7,515/11,279.70 = 3,131.28/x
  3. Step 3: Cross multiply
    7,515x = 11,279.70 × 3,131.28
  4. Step 4: Simplify right side
    7,515x = 35,319,899.02
  5. Step 5: Solve for x
    x = 35,319,899.02/7,515
  6. Step 6: Final answer
    x = 4,699.92

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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.