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Finding the Fourth Proportional to 28,256.87, 38,991.16 and 16,770

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Solution

The fourth proportional to 28,256.87, 38,991.16 and 16,770 is: 23,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,256.87 : 38,991.16 = 16,770 : x
  2. Step 2: Convert to fraction form
    28,256.87/38,991.16 = 16,770/x
  3. Step 3: Cross multiply
    28,256.87x = 38,991.16 × 16,770
  4. Step 4: Simplify right side
    28,256.87x = 653,881,669.35
  5. Step 5: Solve for x
    x = 653,881,669.35/28,256.87
  6. Step 6: Final answer
    x = 23,140.63

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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.