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Finding the Fourth Proportional to 2,502.66, 3,455.07 and 1,664.50

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Solution

The fourth proportional to 2,502.66, 3,455.07 and 1,664.50 is: 2,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.66 : 3,455.07 = 1,664.50 : x
  2. Step 2: Convert to fraction form
    2,502.66/3,455.07 = 1,664.50/x
  3. Step 3: Cross multiply
    2,502.66x = 3,455.07 × 1,664.50
  4. Step 4: Simplify right side
    2,502.66x = 5,750,964.02
  5. Step 5: Solve for x
    x = 5,750,964.02/2,502.66
  6. Step 6: Final answer
    x = 2,297.94

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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.