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Finding the Fourth Proportional to 1,886.96, 2,829.82 and 654.06

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Solution

The fourth proportional to 1,886.96, 2,829.82 and 654.06 is: 980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.96 : 2,829.82 = 654.06 : x
  2. Step 2: Convert to fraction form
    1,886.96/2,829.82 = 654.06/x
  3. Step 3: Cross multiply
    1,886.96x = 2,829.82 × 654.06
  4. Step 4: Simplify right side
    1,886.96x = 1,850,872.07
  5. Step 5: Solve for x
    x = 1,850,872.07/1,886.96
  6. Step 6: Final answer
    x = 980.88

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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.