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Finding the Fourth Proportional to 2,864.50, 3,953.01 and 1,686.30

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Solution

The fourth proportional to 2,864.50, 3,953.01 and 1,686.30 is: 2,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.50 : 3,953.01 = 1,686.30 : x
  2. Step 2: Convert to fraction form
    2,864.50/3,953.01 = 1,686.30/x
  3. Step 3: Cross multiply
    2,864.50x = 3,953.01 × 1,686.30
  4. Step 4: Simplify right side
    2,864.50x = 6,665,960.76
  5. Step 5: Solve for x
    x = 6,665,960.76/2,864.50
  6. Step 6: Final answer
    x = 2,327.09

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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.