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Finding the Fourth Proportional to 28,657.64, 42,995.00 and 13,676.01

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Solution

The fourth proportional to 28,657.64, 42,995.00 and 13,676.01 is: 20,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,657.64 : 42,995.00 = 13,676.01 : x
  2. Step 2: Convert to fraction form
    28,657.64/42,995.00 = 13,676.01/x
  3. Step 3: Cross multiply
    28,657.64x = 42,995.00 × 13,676.01
  4. Step 4: Simplify right side
    28,657.64x = 587,999,922.91
  5. Step 5: Solve for x
    x = 587,999,922.91/28,657.64
  6. Step 6: Final answer
    x = 20,518.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.