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Finding the Fourth Proportional to 2,665.84, 4,022 and 2,658.64

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Solution

The fourth proportional to 2,665.84, 4,022 and 2,658.64 is: 4,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.84 : 4,022 = 2,658.64 : x
  2. Step 2: Convert to fraction form
    2,665.84/4,022 = 2,658.64/x
  3. Step 3: Cross multiply
    2,665.84x = 4,022 × 2,658.64
  4. Step 4: Simplify right side
    2,665.84x = 10,693,050.08
  5. Step 5: Solve for x
    x = 10,693,050.08/2,665.84
  6. Step 6: Final answer
    x = 4,011.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.