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Finding the Fourth Proportional to 2,169, 2,992.66 and 1,284.48

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Solution

The fourth proportional to 2,169, 2,992.66 and 1,284.48 is: 1,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169 : 2,992.66 = 1,284.48 : x
  2. Step 2: Convert to fraction form
    2,169/2,992.66 = 1,284.48/x
  3. Step 3: Cross multiply
    2,169x = 2,992.66 × 1,284.48
  4. Step 4: Simplify right side
    2,169x = 3,844,011.92
  5. Step 5: Solve for x
    x = 3,844,011.92/2,169
  6. Step 6: Final answer
    x = 1,772.25

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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.