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Finding the Fourth Proportional to 2,871.35, 4,305.00 and 1,114.89

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Solution

The fourth proportional to 2,871.35, 4,305.00 and 1,114.89 is: 1,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.35 : 4,305.00 = 1,114.89 : x
  2. Step 2: Convert to fraction form
    2,871.35/4,305.00 = 1,114.89/x
  3. Step 3: Cross multiply
    2,871.35x = 4,305.00 × 1,114.89
  4. Step 4: Simplify right side
    2,871.35x = 4,799,595.32
  5. Step 5: Solve for x
    x = 4,799,595.32/2,871.35
  6. Step 6: Final answer
    x = 1,671.55

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