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Finding the Fourth Proportional to 3,877.53, 5,345.88 and 3,160.68

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Solution

The fourth proportional to 3,877.53, 5,345.88 and 3,160.68 is: 4,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.53 : 5,345.88 = 3,160.68 : x
  2. Step 2: Convert to fraction form
    3,877.53/5,345.88 = 3,160.68/x
  3. Step 3: Cross multiply
    3,877.53x = 5,345.88 × 3,160.68
  4. Step 4: Simplify right side
    3,877.53x = 16,896,616.00
  5. Step 5: Solve for x
    x = 16,896,616.00/3,877.53
  6. Step 6: Final answer
    x = 4,357.57

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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.