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Finding the Fourth Proportional to 6,139.51, 9,211.55 and 3,676.06

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Solution

The fourth proportional to 6,139.51, 9,211.55 and 3,676.06 is: 5,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.51 : 9,211.55 = 3,676.06 : x
  2. Step 2: Convert to fraction form
    6,139.51/9,211.55 = 3,676.06/x
  3. Step 3: Cross multiply
    6,139.51x = 9,211.55 × 3,676.06
  4. Step 4: Simplify right side
    6,139.51x = 33,862,210.49
  5. Step 5: Solve for x
    x = 33,862,210.49/6,139.51
  6. Step 6: Final answer
    x = 5,515.46

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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.