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Finding the Fourth Proportional to 7,469.85, 10,307.76 and 4,112.13

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Solution

The fourth proportional to 7,469.85, 10,307.76 and 4,112.13 is: 5,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.85 : 10,307.76 = 4,112.13 : x
  2. Step 2: Convert to fraction form
    7,469.85/10,307.76 = 4,112.13/x
  3. Step 3: Cross multiply
    7,469.85x = 10,307.76 × 4,112.13
  4. Step 4: Simplify right side
    7,469.85x = 42,386,849.13
  5. Step 5: Solve for x
    x = 42,386,849.13/7,469.85
  6. Step 6: Final answer
    x = 5,674.39

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Why These Related Problems?

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