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Finding the Fourth Proportional to 27,821.30, 38,393.51 and 15,074.51

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Solution

The fourth proportional to 27,821.30, 38,393.51 and 15,074.51 is: 20,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.30 : 38,393.51 = 15,074.51 : x
  2. Step 2: Convert to fraction form
    27,821.30/38,393.51 = 15,074.51/x
  3. Step 3: Cross multiply
    27,821.30x = 38,393.51 × 15,074.51
  4. Step 4: Simplify right side
    27,821.30x = 578,763,083.09
  5. Step 5: Solve for x
    x = 578,763,083.09/27,821.30
  6. Step 6: Final answer
    x = 20,802.88

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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.