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Finding the Fourth Proportional to 1,888.64, 2,832.96 and 1,645.34

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Solution

The fourth proportional to 1,888.64, 2,832.96 and 1,645.34 is: 2,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.64 : 2,832.96 = 1,645.34 : x
  2. Step 2: Convert to fraction form
    1,888.64/2,832.96 = 1,645.34/x
  3. Step 3: Cross multiply
    1,888.64x = 2,832.96 × 1,645.34
  4. Step 4: Simplify right side
    1,888.64x = 4,661,182.41
  5. Step 5: Solve for x
    x = 4,661,182.41/1,888.64
  6. Step 6: Final answer
    x = 2,468.01

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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.