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Finding the Fourth Proportional to 3,941.12, 5,918.40 and 3,776

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Solution

The fourth proportional to 3,941.12, 5,918.40 and 3,776 is: 5,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.12 : 5,918.40 = 3,776 : x
  2. Step 2: Convert to fraction form
    3,941.12/5,918.40 = 3,776/x
  3. Step 3: Cross multiply
    3,941.12x = 5,918.40 × 3,776
  4. Step 4: Simplify right side
    3,941.12x = 22,347,878.40
  5. Step 5: Solve for x
    x = 22,347,878.40/3,941.12
  6. Step 6: Final answer
    x = 5,670.44

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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.