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Finding the Fourth Proportional to 3,871, 5,338.36 and 2,985.40

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Solution

The fourth proportional to 3,871, 5,338.36 and 2,985.40 is: 4,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871 : 5,338.36 = 2,985.40 : x
  2. Step 2: Convert to fraction form
    3,871/5,338.36 = 2,985.40/x
  3. Step 3: Cross multiply
    3,871x = 5,338.36 × 2,985.40
  4. Step 4: Simplify right side
    3,871x = 15,937,139.94
  5. Step 5: Solve for x
    x = 15,937,139.94/3,871
  6. Step 6: Final answer
    x = 4,117.06

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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.