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Finding the Fourth Proportional to 1,864.64, 2,780.70 and 1,654.85

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Solution

The fourth proportional to 1,864.64, 2,780.70 and 1,654.85 is: 2,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.64 : 2,780.70 = 1,654.85 : x
  2. Step 2: Convert to fraction form
    1,864.64/2,780.70 = 1,654.85/x
  3. Step 3: Cross multiply
    1,864.64x = 2,780.70 × 1,654.85
  4. Step 4: Simplify right side
    1,864.64x = 4,601,633.12
  5. Step 5: Solve for x
    x = 4,601,633.12/1,864.64
  6. Step 6: Final answer
    x = 2,467.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.