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Finding the Fourth Proportional to 4,761.13, 7,143.17 and 2,130.84

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Solution

The fourth proportional to 4,761.13, 7,143.17 and 2,130.84 is: 3,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.13 : 7,143.17 = 2,130.84 : x
  2. Step 2: Convert to fraction form
    4,761.13/7,143.17 = 2,130.84/x
  3. Step 3: Cross multiply
    4,761.13x = 7,143.17 × 2,130.84
  4. Step 4: Simplify right side
    4,761.13x = 15,220,952.36
  5. Step 5: Solve for x
    x = 15,220,952.36/4,761.13
  6. Step 6: Final answer
    x = 3,196.92

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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.