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Finding the Fourth Proportional to 13,021.47, 17,969.53 and 7,053

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Solution

The fourth proportional to 13,021.47, 17,969.53 and 7,053 is: 9,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.47 : 17,969.53 = 7,053 : x
  2. Step 2: Convert to fraction form
    13,021.47/17,969.53 = 7,053/x
  3. Step 3: Cross multiply
    13,021.47x = 17,969.53 × 7,053
  4. Step 4: Simplify right side
    13,021.47x = 126,739,095.09
  5. Step 5: Solve for x
    x = 126,739,095.09/13,021.47
  6. Step 6: Final answer
    x = 9,733.09

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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.