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Finding the Fourth Proportional to 1,920.84, 2,652.72 and 1,654.77

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Solution

The fourth proportional to 1,920.84, 2,652.72 and 1,654.77 is: 2,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.84 : 2,652.72 = 1,654.77 : x
  2. Step 2: Convert to fraction form
    1,920.84/2,652.72 = 1,654.77/x
  3. Step 3: Cross multiply
    1,920.84x = 2,652.72 × 1,654.77
  4. Step 4: Simplify right side
    1,920.84x = 4,389,641.47
  5. Step 5: Solve for x
    x = 4,389,641.47/1,920.84
  6. Step 6: Final answer
    x = 2,285.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.