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Finding the Fourth Proportional to 13,021.65, 17,968.59 and 7,278.03

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Solution

The fourth proportional to 13,021.65, 17,968.59 and 7,278.03 is: 10,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.65 : 17,968.59 = 7,278.03 : x
  2. Step 2: Convert to fraction form
    13,021.65/17,968.59 = 7,278.03/x
  3. Step 3: Cross multiply
    13,021.65x = 17,968.59 × 7,278.03
  4. Step 4: Simplify right side
    13,021.65x = 130,775,937.08
  5. Step 5: Solve for x
    x = 130,775,937.08/13,021.65
  6. Step 6: Final answer
    x = 10,042.96

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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.