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Finding the Fourth Proportional to 11,179, 15,430.26 and 7,453

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Solution

The fourth proportional to 11,179, 15,430.26 and 7,453 is: 10,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179 : 15,430.26 = 7,453 : x
  2. Step 2: Convert to fraction form
    11,179/15,430.26 = 7,453/x
  3. Step 3: Cross multiply
    11,179x = 15,430.26 × 7,453
  4. Step 4: Simplify right side
    11,179x = 115,001,727.78
  5. Step 5: Solve for x
    x = 115,001,727.78/11,179
  6. Step 6: Final answer
    x = 10,287.30

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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.