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Finding the Fourth Proportional to 28,066.16, 38,738.04 and 16,886

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Solution

The fourth proportional to 28,066.16, 38,738.04 and 16,886 is: 23,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,066.16 : 38,738.04 = 16,886 : x
  2. Step 2: Convert to fraction form
    28,066.16/38,738.04 = 16,886/x
  3. Step 3: Cross multiply
    28,066.16x = 38,738.04 × 16,886
  4. Step 4: Simplify right side
    28,066.16x = 654,130,543.44
  5. Step 5: Solve for x
    x = 654,130,543.44/28,066.16
  6. Step 6: Final answer
    x = 23,306.73

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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.