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Finding the Fourth Proportional to 2,658.55, 3,670.10 and 1,664.38

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Solution

The fourth proportional to 2,658.55, 3,670.10 and 1,664.38 is: 2,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.55 : 3,670.10 = 1,664.38 : x
  2. Step 2: Convert to fraction form
    2,658.55/3,670.10 = 1,664.38/x
  3. Step 3: Cross multiply
    2,658.55x = 3,670.10 × 1,664.38
  4. Step 4: Simplify right side
    2,658.55x = 6,108,441.04
  5. Step 5: Solve for x
    x = 6,108,441.04/2,658.55
  6. Step 6: Final answer
    x = 2,297.66

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1.5x scale

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.