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Finding the Fourth Proportional to 3,428.88, 4,731.85 and 1,856.98

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Solution

The fourth proportional to 3,428.88, 4,731.85 and 1,856.98 is: 2,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.88 : 4,731.85 = 1,856.98 : x
  2. Step 2: Convert to fraction form
    3,428.88/4,731.85 = 1,856.98/x
  3. Step 3: Cross multiply
    3,428.88x = 4,731.85 × 1,856.98
  4. Step 4: Simplify right side
    3,428.88x = 8,786,950.81
  5. Step 5: Solve for x
    x = 8,786,950.81/3,428.88
  6. Step 6: Final answer
    x = 2,562.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.