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Finding the Fourth Proportional to 7,453, 10,287.30 and 4,969

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Solution

The fourth proportional to 7,453, 10,287.30 and 4,969 is: 6,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453 : 10,287.30 = 4,969 : x
  2. Step 2: Convert to fraction form
    7,453/10,287.30 = 4,969/x
  3. Step 3: Cross multiply
    7,453x = 10,287.30 × 4,969
  4. Step 4: Simplify right side
    7,453x = 51,117,593.70
  5. Step 5: Solve for x
    x = 51,117,593.70/7,453
  6. Step 6: Final answer
    x = 6,858.66

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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.