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Finding the Fourth Proportional to 28,993, 40,010.58 and 15,745

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Solution

The fourth proportional to 28,993, 40,010.58 and 15,745 is: 21,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,993 : 40,010.58 = 15,745 : x
  2. Step 2: Convert to fraction form
    28,993/40,010.58 = 15,745/x
  3. Step 3: Cross multiply
    28,993x = 40,010.58 × 15,745
  4. Step 4: Simplify right side
    28,993x = 629,966,582.10
  5. Step 5: Solve for x
    x = 629,966,582.10/28,993
  6. Step 6: Final answer
    x = 21,728.23

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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.