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Finding the Fourth Proportional to 12,259.65, 16,918.16 and 7,224.09

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Solution

The fourth proportional to 12,259.65, 16,918.16 and 7,224.09 is: 9,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.65 : 16,918.16 = 7,224.09 : x
  2. Step 2: Convert to fraction form
    12,259.65/16,918.16 = 7,224.09/x
  3. Step 3: Cross multiply
    12,259.65x = 16,918.16 × 7,224.09
  4. Step 4: Simplify right side
    12,259.65x = 122,218,310.47
  5. Step 5: Solve for x
    x = 122,218,310.47/12,259.65
  6. Step 6: Final answer
    x = 9,969.15

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1.5x scale

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.