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Finding the Fourth Proportional to 12,821.23, 17,693.04 and 7,232.23

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Solution

The fourth proportional to 12,821.23, 17,693.04 and 7,232.23 is: 9,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.23 : 17,693.04 = 7,232.23 : x
  2. Step 2: Convert to fraction form
    12,821.23/17,693.04 = 7,232.23/x
  3. Step 3: Cross multiply
    12,821.23x = 17,693.04 × 7,232.23
  4. Step 4: Simplify right side
    12,821.23x = 127,960,134.68
  5. Step 5: Solve for x
    x = 127,960,134.68/12,821.23
  6. Step 6: Final answer
    x = 9,980.33

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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.